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Proportional Relationships Quiz

Total questions: 25

Worksheet time: 53mins

Name
Class
Date
1.

During one hour of running, Jeff can run 5.5 miles. The number of miles Jeff runs and the number of hours are in a proportional relationship. This is represented by y = 5.5x. Part B: Interpret the slope of the graph.

(a)  

2.

Bradley is tiling his kitchen. He wants to buy tile at the cheapest price. The local hardware store sells tile for $5.27 per square foot of tile. The cost at the mega hardware store is shown in the graph. There is a proportional relationship between the number of tiles bought and the cost of the tiles. What is the cheapest price Bradley will pay for 100 square feet of tile?

4 lines
3.

The graph shows the cost of grapes at a grocery store. What is the slope of the line?

a)

11/2

b)

2/2

c)

2/3

d)

11

4.

Find the slope of the line that passes through A(0, -5) and B(3, 4).

4 lines
5.

Describe the slope by writing zero, positive, negative, or undefined next to each graph.

(a)  

6.

Describe the slope by writing zero, positive, negative, or undefined next to each graph.

(a)  

7.

Describe the slope by writing zero, positive, negative, or undefined next to each graph.

(a)  

8.

Describe the slope by writing zero, positive, negative, or undefined next to each graph.

(a)  

9.

A space program is testing a series of new models to decide which one to use for the upcoming Mars Mission. The information about the power consumption (p) in kW of electricity in terms of time (t) in hours of each rocket is shown below. Rocket A: Power consumption is modeled by the equation p = 1.4t. Rocket B: Power consumption is modeled in the following table. t: 2, 4, 6, 8, 10 P: 3, 6, 9, 12, 15 Part A: Which rocket would use less power if the trip only takes 5 hours? How do you know?

4 lines
10.

Part B: What would the power consumption (p) be for the rocket that uses less power?

(a)  

11.

Consider the table. x: 1, 2, 3, 4 y: 5, 7, 9, 11 Part A: Is the relationship between the two quantities linear?

4 lines
12.

Part B: Find the constant rate of change.

4 lines
13.

The cost of bananas varies directly with the number of pounds bought. If 5 pounds cost $8.50, find the cost of 3 pounds.

4 lines
14.

What is the equation of the line shown?

a)

y = (3/2)x - 1

b)

y = -(2/3)x + 1

c)

y = 6x + 4

d)

y = 2x - 1

15.

Describe how the side lengths of each triangle in the graph relate to the slope of the line.

4 lines
16.

The amount of money that Ryan earns is directly proportional to the number of hours that he works. How much does Ryan earn per hour?

4 lines
17.

Graph $ y = \frac{1}{3}x + 2 $ using the slope and the y-intercept.

4 lines
18.

The equation $ y = 3x + 12 $ represents the total cost of $ y $ of $ x $ hot dogs and a souvenir hat from the concession stand at a football game. Graph this equation.

4 lines
19.

Write an equation in slope-intercept form for the line shown.

4 lines
20.

The members of a basketball team are selling T-shirts during spirit week. The cost is $15 for the design and $2.50 to print each T-shirt. The cost, y, to print x T-shirts is y = 2.5x + 15. Interpret the slope and the y-intercept.

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21.

Part A: Write an equation in slope-intercept form that relates the toll x and traffic volume y.

4 lines
22.

Part B: Find the number of vehicles per hour at a peak time if the toll increases to $6.00.

4 lines
23.

The table shows points that lie on a line. Use the slope and y-intercept to write the equation of the line in slope-intercept form.

(a)  

24.

Find the slope of the line by comparing the change in y to the change in x.

4 lines
25.

Sunrise, a bed-and-breakfast hotel, charges a one-time deposit of $25 plus $85 per night. Another bed-and-breakfast hotel called Bright Eyes charges a flat rate of $95 per night. Craig wants to book a hotel for 5 nights. Which hotel costs less to stay for 5 nights? How much less?

4 lines