Exploring Rational Functions: Real-Life Applications for 9th Graders

Exploring Rational Functions: Real-Life Applications for 9th Graders

9th Grade

10 Qs

quiz-placeholder

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Exploring Rational Functions: Real-Life Applications for 9th Graders

Exploring Rational Functions: Real-Life Applications for 9th Graders

Assessment

Quiz

English, Mathematics

9th Grade

Hard

CCSS
HSA.CED.A.4

Standards-aligned

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a rational function to represent the total cost, C, as a function of miles driven, m. Simplify the expression for C.

C(m) = 50 - 0.20m

C(m) = 50 + 0.50m

C(m) = 0.20m - 50

C(m) = 50 + 0.20m

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A recipe requires 3/4 cup of sugar for every 2 cups of flour. If you want to make a batch with 6 cups of flour, how much sugar will you need? Write a rational function and simplify it.

6 cups of sugar

9/4 cups of sugar

3 cups of sugar

1 cup of sugar

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A tank can be filled by two pipes. Pipe A can fill the tank in 4 hours, while Pipe B can fill it in 6 hours. Write a rational function to represent the rate at which the tank fills when both pipes are open. Simplify your answer.

5/12

3/8

2/3

1/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is planning a field trip and has a budget of $300. If the cost per student is represented by the rational function C = 300/n, where n is the number of students, how much can each student pay if 15 students attend?

25

20

30

15

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer has a rectangular field with a length that is 3 meters longer than its width. If the area of the field is 54 square meters, write a rational function to express the width in terms of the length and simplify it.

w = (54 / L) - 3

w = (54 / L) + 3

w = L - 54

w = 54 / (L - 3)

Tags

CCSS.HSA.CED.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A swimming pool is being filled at a rate of 5 gallons per minute. If the pool holds 1,200 gallons, write a rational function to represent the time, t, in minutes, to fill the pool. Simplify the expression for t.

t = 150 minutes

t = 180 minutes

t = 300 minutes

t = 240 minutes

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A store sells a product for $80, but offers a discount of 20% for members. Write a rational function to represent the final price, P, as a function of the original price, O. Simplify your expression for P.

P = O + 20%

P = 0.80 * O

P = 0.60 * O

P = O - 0.20 * O

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