Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation
Answers
Answer:
y = 3x + 1
Step-by-step explanation:
Answer: y = 3x + 1
Step-by-step explanation:
Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.
For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).
Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.
To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.
Plug in 1 for b and you end up with y = 3x + 1
Related Questions
What is a dot product.
Answers
Answer:
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers
Step-by-step explanation:
A can of crushed tomatoes holds 40 fluid ounces. How can a label designer name the same volume using metric units? Complete the explanation.
The designer can use the ratio 1 fluid ounce ≈ 29.6 milliliters and then multiply:
40 × blank
=
. The designer might decide to convert mL to L and round to the nearest tenth of a liter:
mL ≈
L
Answers
The metric unit of a quantity is simply the unit of measurement of the quantity
The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters
The volume of the crushed tomato can is given as:
[tex]\mathbf{Volume = 40oz}[/tex]
From the question, we have the following conversion ratio
[tex]\mathbf{1oz \approx 29.6mL}[/tex]
So, the volume in milliliters becomes
[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]
Multiply
[tex]\mathbf{Volume = 1184mL}[/tex]
To convert the unit to liters, we simply divide the volume by 1000.
So, we have:
[tex]\mathbf{Volume = 1184L \div 1000}[/tex]
[tex]\mathbf{Volume = 1.184L}[/tex]
Hence, the equivalent volumes are 1184 milliliters and 1.184 liters
Read more about metric units at:
https://brainly.com/question/2004114
5.f(1)+5.g(9)=
Please answer the questions
Answers
Answer:
5f+45g
Step-by-step explanation:
Simplify
5*f(1) = 5f
5*g(9) = 45g
5f+45g
g(9)= -6
5 x -5 = -25
5 x -6 = -30
-25 + -30 = -55
Eva has a points card for a movie theater. She receives 65 rewards points just for signing up. She earns 13.5 points for each visit to the movie theater. She needs at least 200 points for a free movie ticket. Use the drop-down menu below to write an inequality representing vv, the number of visits she needs to make in order to get a free movie ticket.
Answers
Answer:
10
Step-by-step explanation:
200-65= 135
135/13.5=10
Which equation is epuivalent to -(6 - x)= 24
Answers
Answer:-6- x = 24
Step-by-step explanation:
A number c minus 7.3 is less than 6. write this word sentence as an inequality?
Answers
Answer:
c - 7.3 < 6
Step-by-step explanation:
c - 7.3 is less than 6
less than is the same as <
So c - 7.3 < 6
-Chetan K
Answer:
c - 7.3 < 6
Step-by-step explanation:
consider the function represented by the equation 6q = 3s - 9. write the equation in function notation where q is the independent variable
Answers
Answer:
3s = 6q + 9
Step-by-step explanation:
Remember y = mx + b? The function you provided is exactly that but with different letters. As written, the dependent variable is 6q since that is what is isolated. To make it the independent variable, isolate something else so that it becomes the dependent variable. In other words, solve for s by moving the 9 to the other side of the equation.
6q = 3s - 9
3s = 6q + 9
David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?
Answers
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].Item a:
[tex]P = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]
[tex]A(8) = 2389.66[/tex]
Item b:
[tex]A(t) = 4000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]
[tex](1.0225)^t = 2[/tex]
[tex]\log{(1.0225)^t} = \log{2}[/tex]
[tex]t\log{1.0225} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]
[tex]t = 31.15[/tex]
Item c:
[tex]A(3) = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]
[tex]P = \frac{2000}{(1.0225)^3}[/tex]
[tex]P = 1870.85[/tex]
A similar problem is given at https://brainly.com/question/24850750
on her first six test, Sandra's scores were 75 70 80 80 85 and 90 find the mean of the six scores
Answers
Explanation:
First add up the scores: 75+70+80+80+85+90 = 480
Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.
Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.
Answers
The function that gives the surface area has the radius as a denominator.
The values r can take are; 0.1, 1, 2, and 3Reasons:
The given parameter are;
The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)
The function is used to plot the graph
The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3
The graph of a similar function representing the surface area is attached;
[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]
From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)
Therefore, Claire should use the a domain that gives a continuous graph,
given that r is a denominator of the function, by allowing the radius, r to
take on only natural number values (values larger than 0)
The domain is therefore; 0 < r < ∞
The values r can take should therefore be 0.1, 1, 2, and 3
Learn more about asymptotes here:
https://brainly.com/question/17257427
This question: 1p
Find the surface area of the prism.
Answers
Answer:
Step-by-step explanation:
There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. How many adults alight from the ship?
Answers
Answer:
1580÷100×60
=948
60%=948
60-20
=40
1580÷100×40
=632
948-632
=316
MARK ME BRAINLIEST PLS I WILL GET A NEW RANK!!41 divided by 533 estimate it and its long division and I have to find the R
Answers
Answer:
12 R20
Step-by-step explanation:
changed 41 to 40 and 533 to 500. work is in file above.
A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?
Answers
The graph that models the relationship between the factory production and the time is the graph in option D
The number of bolts produced within four hours is 3200
The rate of production is the ratio of the change in the number of bolts produced to the the change in time
Change in the number of bolts produced, ∆y = 3200 bolts
Change in time, ∆t = 4 hours
Rate of change = ∆y / ∆t
Rate of change = 3200/4
Rate of change = 800 bolts per hour
The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour
Learn more here: https://brainly.com/question/25553795
How to multiply with square roots and normal number.
Answers
Answer:
To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.
Step-by-step explanation:
1/2v-12+20=14
whats the answer of v
Answers
Answer:
v=12
Step-by-step explanation:
1/2v-12+20=14
Add.
1/2v+8=14
Subtract 8 from both sides of the equation.
1/2v=6
Divide 1/2 from both sides of the equation.
v=12
Hope this helps :)
Which statement proves that ____
Answers
Answer:
the question is incomplete
Help me do this plz
Answers
Answer:
10.25
Step-by-step explanation:
Using the pythagorean theorem
13^2 = 8^2 + (ML)^2
169 = 64 + (ML)^2
Subtract 64 from both sides
105 = (ML)^2
Take the square root of both sides
10.25 = ML
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answers
I am struggling with my math. help me please
HELP ME!!!!
Answers
Answer: 234
Step-by-step explanation:
At a craft fair, Emily sold paper flowers for $0.55 each. She sold
48 flowers. How much money did she make?
Answers
Answer:
$26.40
Step-by-step explanation:
Answer:
$26.40
Step-by-step explanation:
1 paper flower=$0.55
Therefore,48 paper flowers=?
cross multiplying,we have 0.55×48=$26.40
The number of data points from the box that fall in the interval of 10-15 is 21 25 25 26 19 24. 25 17 23 25 30 28 25 28 19 21 25 17 21 24 30 17 28 20 21
Answers
Answer:
I have no clue I'm trying to get my account set up
What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
Answers
Answer:
The answer to the equation is 48.
Answer:
The value of this expression is 48
Step-by-step explanation:
15 + c2 * d - c3
c = 3
d = 7
Substitute the value of c and d
15 + (3)2 * 7 - (3)3
Multiply the parenthesis first
15 + 6 * 7 - 9
Now multiply 6 and 7
15 + 42 - 9
Now add 15 and 42
57 - 9
Now subtract
= 48
Find the slope of the line shown below.
Answers
Hello! :)
The slope of this line is 0.
Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.
Here, we move 0 units up, so the rise is 0.
No matter what the run is, the slope is 0 anyway.
Hope it helps you!
If you have any questions, feel free to ask! (:
~An excited gal
[tex]SparklingFlower :)[/tex]
Answer:
its 0 sowe
Step-by-step explanation:
Y=2x-1 và y=3x+2 khi
Answers
Answer:
x = 3, y= 5
Step-by-step explanation:
y = 2x - 1 -----(1)
y = 3x + 2 ----(2)
From (1)
2x - y = 1 ----(3)
From (2)
3x - y = -2 -----(4)
Solving (3) and (4) simultaneously
2x - y = 1
- 3x - y = -2
___________
x = 3
subst. x = 3 in (1)
2(3) - y = 1
6 - y = 1
y = 6-1
y = 5
Hence, x = 3, y = 5
Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)
Answers
If it took 3 hours to clean 5 houses, how many houses could be cleaned in 9 hours?
Answers
Hwlp with work its 3am and im stuck help
Answers
Answer:
[tex]\huge\boxed{a) 28 \\ }\huge\boxed{b) 31}[/tex]
Step-by-step explanation:
A fibonacci-type sequence is simply a sequence that consists of the n-1th term + the n-2th term. This simply means that the sum of the two numbers before a term, are the term.
Hope it helps :) and let me knwo if you want me to elaborate.
Answer:
a is 28 and b is 31
Step-by-step explanation:
i hoped this helped
1. Which is the counterexample to the following conjecture?
If a number is divisible by 3, it must also be divisile by 9.
18
21
27
O
54
Answers
Work out the percentage change when a price of £40 is decreased to £18
Answers
£22/£40= %55 reduction