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

Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Standards-aligned
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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