A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.

Answers

Answer 1

The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

y = dependent variable

x = independent variable

k = constant of proportionality.

In essence; to determine the constant of proportionality, k in this case;

k = y/x

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

k = 18.50.

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

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Related Questions

Rewrite the following equation in slope-intercept form.

y − 3 = 12( x + 4)

Answers

Answer:

y=12x+51

Step-by-step explanation:

The graph of the line y= 3 is a line that has which of the following characteristics?
O parallel to the y -axis
O passing through the point (5,0)
O parallel to the x-axis
O passing through the origin

Answers

The characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Recall:

The equation of a horizontal line graph is represented as y = k; where k is the point on the y-axis intercepted by the line.Horizontal line graph is always parallel to the x-axis.

The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.

Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

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how can i show the value that 1/10 of 0.5

Answers

Answer:

[tex]\frac{1}{10} * 0.5 = 0.05[/tex]

Step-by-step explanation:

The problem asks "what is the value of _____ of _______"

Step 1: Know The word "of" means to multiply.

So you just need to multiply the first number by the second number.

Example:

The value of 1/6 of 4 is 1/6 * 4 = 2/3.

im stuck on this problem can someone help me? (see photo) ​

Answers

Answer:

I'm thinking the anwer is B

Step-by-step explanation:

I remember doing this problem before :)

Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).

Answers

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

What does "?" equal?​

Answers

Answer:320

Step-by-step explanation:

an item is regularly priced at $20. It is on sale for 70% off the regular price. What is the sale price?

Answers

Answer:

6 dollars

Step-by-step explanation:

Hope this helps. :))

Solve the system.
y-x=4
x+y=6

Answers

Answer:

x=1 y=5

Step-by-step explanation:

y=4+x

x=y=6

x+4+x=6

y=4+x

2x+4=6

y=4+x

2x=2

y=4+x

x=1

y=4+x

y=5

x=1

[tex]\bold{ \sqrt{12} \times \sqrt{12} }=[/tex]

Answers

The answer will be 12
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers
12.
Hope this helped >_

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{12}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \sqrt{12} \times \sqrt{12} [/tex]

[tex] \sqrt{2 \times 2 \times 3} \times \sqrt{2 \times 2 \times 3} [/tex]

[tex] \sqrt{2 \times 2 \times 3 \times 2 \times 2 \times 3} [/tex]

[tex]2 \times 2 \times 3[/tex]

[tex]12[/tex]

The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768

Answers

Answer:

See below

Step-by-step explanation:

The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°

The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°

The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places

We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.

Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.

The null hypothesis is rejected since the p-value shows that it is unlikely to be true.

What is the hypothesis?

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

As per the given question, the required solution would be as:

A) Hypothesis test :

The null and alternative hypothesis is

Hi : u = 98.6

Ha : u < 98.6

B) Test statistic is t = -3.831

C) sample size, n= 31

degree of freedom,

df = n -1 = 31 - 1 = 30

P-value = p(t < -3.831 )

= 0.0003 (from t table)

d) P-value < 0.10, reject the null hypothesis.

is, support

As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.

Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.

To learn more about the hypothesis click here:

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#SPJ2

need 8&9 urgently!!!

Answers

Answer:

8.x=7

7.x=12

Step-by-step explanation:

8.The two Base angles are equal

7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.

PLEASE HELP ME 20 POINTS



Determine the x- and y-intercepts of the graph of X-4y=8

Answers

Answer:

x- intercept = 8 , y- intercept = - 2

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

x - 4(0) = 8

x - 0 = x

x = 8 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

0 - 4y = 8

- 4y = 8 ( divide both sides by - 4 )

y = - 2 ← y- intercept

I don’t even know the answer to this one plz help me

Answers

Answer:

You would multiply -11 by 9/4

This is because they are on opposite sides of the equation, and 9/4 is connected to a variable.

PLZ HELP 100 POINTS AND DUE TODAY I WILL BE SO GRATEFUL!!

Answers

Answer:

A) 15(20x14) = 4,200

Step-by-step explanation:

20 pounds each day per horse

so 2 weeks is 14 days

which means 20x14

then there are 15 horse

so 15(20x14)

4,200

what is the answer for k=6x+100

Answers

Answer:

x = k/6 - 50/3

Step-by-step explanation:

K=6x+100

--> Swap sides so that all variable terms are on the left hand side.

6x+100=k

--> Subtract 100 from both sides.

6x=k−100

--> Divide both sides by 6.

6x/6 = k-100/6

--> Dividing by 6 undoes the multiplication by 6.

x = k-100/6

--> Divide k−100 by 6.

Answer : x = k/6 - 50/3

Hope this helps you!

draw the graph of y=2x+3 on the grid

Answers

Look up Desmos Graphing Calculator online and put in y=2x+3

Please answer this. I need and will give

Answers

At least give a clear picture bro

5
x
:
8
=
7
:
2
Calculate the value of x
.
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

5x:8=7:2

5x/8=7/2

By Cross Multiplication:

10x=56

x=56/10

x=28/5

If you need to ask any question,please let me know.

A store sells 4 cans of soup for $9. How much would it cost you to buy 5 cans of soup?

Answers

Answer:

$11.25

Step-by-step explanation:

4 x 5 = 20

9 x 5 = 45

20/4 = 5

45/5 = 11.25

Solve for r.
-70 +1 > 22
OR
102 +41 81

Answers

-69>22 or 224 is what I think the answer is not too sure

Convert an area 75000m2 to hectares​

Answers

Answer:

10000m2 =1 hectare

75000m2 = 75000/10000 hectares

=75/10hectares

=7.5hectares

note:

1 hectare =10 000m2

Hope this helps!!

Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?

Answers

Answer:

2.28%

Step-by-step explanation:

Given:

μ = 80σ = 12x = 104

Find z-score:

z = (x - μ)/σz = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

Percentage of students earned more than $104:

100 - 97.72 = 2.28

1.Mr. Redding sells vehicles to 40% of the people that come to the sales lot. If 165 people came to the lot last month, how many vehicles did he sell?

Answers

He would have sold 66 vehicles

Plz solve. I will give 50 points for whoever gets it right.

Answers

Answer:

This is like multiplication you solve this question and then you can solve the equation

Which expressions are equivalent to
-1/3(12-9+6x)

Answers

Answer:

-2x-1

Step-by-step explanation:

first you simplify what is inside the parenthesis to get: -1/3(6x+3)

then, you distribute the -1/3 to each of the numbers inside the parenthesis to get: -2x-1

What is the perimeter, in meters (m), of ∆PRT?

Answers

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

[tex]\mathbf{QR : QS = PR :PT}[/tex]

So, we have:

[tex]\mathbf{3 : 8 = 6 :PT}[/tex]

Multiply 3 : 8 by 2

[tex]\mathbf{6 : 16 = 6 :PT}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{PT = 16}[/tex]

So, the perimeter of triangle PRT is calculated using:

[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]

Substitute values for PR, RT and PT

[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]

Add up the figures

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle PRT is 36 meters

Read more about perimeters at:

https://brainly.com/question/6465134

Geometry problem, Name the angle pair relationship and then determine which lines must be parallel based on the angles given If they do not prove lines parallel, write none.

Answers

Answer:

see below

Step-by-step explanation:

a) 1 = 4 they are corresponding angles when j and k are parallel

b) 3 + 4 = 180 these just lies on same straight line and they add up to 180 so none

c) 5 + 7 = 180 are consecutive interior angles when k and l are parallel

d) 6 = 7 they are alternate interior angles when k and l are parallel

and refer this link for theory on this topic

https://www.ixl.com/math/lessons/transversals-of-parallel-lines

I need help plz it’s for school plz plz

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

7x+1/3=2 2/3
Help me please

Answers

7x + 1/3 = 2 2/3
7x = 7/3
x = 1/3
x is equal to 1/3
x= 1/3

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 21 gallons of gasoline to travel 399 miles. How many miles can the car travel if it has 28 gallons of gasoline

Answers

Answer:

6 gallons of gasoline

Step-by-step explanation:

1 gallon = 24 miles

you need to get 144 miles

144 divided by 24 = 6

there fore you need 6 gallons

hope it helps

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