Proportional Reasoning: Tables, Graphs, and Equations

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Name_________________________________________________ Date___________________

Proportional Reasoning: Tables, Graphs, and Equations

1. Nicki Minaj just bought a new hybrid car that can drive 50 miles on one gallon of gas.

Nicki Minaj is trying to understand how many gallons of gas she will use on a long car trip. Use the table and graph below to represent how many gallons Nicki Minaj will have used after 450, 600, and 900 miles.

C.O.P.: ______________________

Write an equation: __________________

What does the point (9,450) represent on the graph?

___________________________________________

___________________________________________

Label the coordinate plane to represent the situation and then graph the relationship.

Use the equation for the relationship to determine how many miles Nicki can go if she has 22 gallons of gas then write your answer in a complete sentence.

_________________________________________________________________________________________________________________________

2. Frank Ocean owns a small bookstore in Cambridge, MA. Frank Ocean is ordering some copies of Channing Tatum’s latest book. Printer A sells the books at $350 per

100, and Printer B sells the books at $150 per 40. Which company offers the lower price? Use the table below to compare prices, give your answer and explain.

C.O.P.: ______________________

Write an equation for each printer:

A:__________________ B:______________________

Label the coordinate plane to represent the situation and then graph the relationships for both printers

(you will have 2 lines).

3. Channing Tatum manages a Ford plant, and the plant is looking to rent a new machine to accelerate its assembly line. Channing Tatum has collected pricing information from Bolt Co. and Vector Inc. Bolt Co. charges $1,060 every 6 months.

Vector Inc. charges $3,200 every 18 months. Which company offers the lower price?

Use the table below to compare.

C.O.P.: ______________________

Write an equation for what each company charges:

Bolt:__________________

Vector:______________________

Label the coordinate plane to represent the situation and then graph the relationship for both companies

(you will have 2 lines).

4. Wale is deciding whether or not to buy cable television for his apartment. His friends say it will only cost him 30 dollars per month. Wale wants to visualize how that expense will accumulate over time. Use the table and graph below to represent how much Wale will have spent after 6, 12 and 18 months.

C.O.P.: ______________________

Write an equation: __________________

If the ordered pair (22,660) were on the graph, what would it represent?

___________________________________________

___________________________________________

Label the coordinate plane to represent the situation and then graph the relationship.

5. Cee Lo Green is running the Cincinnati Marathon. After 6 miles, Cee Lo Green’s clock reads 48 minutes. If Cee Lo

Green maintains her current pace, what will his clock read at

20 miles? 26 miles? You can use the table below to calculate his times .

C.O.P.: ______________________

Write an equation: __________________

What does the ordered pair (0,0) represent in this situation?

___________________________________________

___________________________________________

Label the coordinate plane to represent the situation and then graph the relationship.

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