Function Composition Word Problems

Function Composition Word Problems

11th Grade

10 Qs

quiz-placeholder

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Function Composition Word Problems

Function Composition Word Problems

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Sarah Woodson

Used 4+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A store offers a 10% discount and a $20 off coupon. What is the discount equation and the coupon equation?

d(x) = 0.1(x)

c(x) = x - 20

d(x) = 0.1(x)

c(x) = 20 - x

d(x) = 0.9(x)

c(x) = 20 - x

d(x) = 0.9(x)

c(x) = x - 20

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A store offers a 10% discount and a $20 off coupon. What is the cost equation if the discount is applied BEFORE the coupon?

f(x) = .9x - 18

f(x) = .9x - 20

f(x) = .1x - 20

f(x) = .1x - 18

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A store offers a 10% discount and a $20 off coupon. What is the cost equation if the coupon is applied BEFORE the discount?

f(x) = .9x - 18

f(x) = .9x - 20

f(x) = .1x - 20

f(x) = .1x - 18

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

You go shopping for jeans with a coupon for $5 off. When you arrive, you find all jeans are also on sale for 25% off. Let j = the price of jeans.

Find C(j), the cost for jeans when you only use the coupon,

D(j), the cost for jeans when you only use the discount, and then

select the composition, D(C(j)) or C(D(j)) that will save you the most money.

C(j) = j - 5

D(j) = .75j

C(D(j)) = .75j-5

C(j) = j - 5

D(j) = .25j

D(C(j)) = .25(j-5)

C(j) = j - .75

D(j) = 5j

C(D(j)) = 5j-.75

C(j) = j - 5

D(j) = .75j

D(C(j)) = .75(j-5)

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

You have a $50-off coupon and there was a 10%-off sale on a new $1000 stereo. If C(x) is the cost to purchase a stereo with only the coupon and D(x) is the cost to purchase the stereo with only the discount, which composition will give you the most savings? Find the composition and the savings.

C(D(x)) = .9x-50 will save $150.

D(C(x)) = .9(x-50)

will save $145.

C(D(x)) = .1x-50 will save $150.

D(C(x)) = 1.(x-50)

will save $145.

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The volume of water in a tank (in gallons) is given by V = 9 - t, where t is the time passed in hours.

The weight of the tank (in pounds) is given by W = 2V, where V is the volume in gallons.

Write an equation for the weight of the tank in terms of the time passed.

W = 2(9 - t)

W = 9 - 2t

W = 18 - t

Not enough information

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A store offers a 15% discount and a $30 off coupon. What is the cost equation if the coupon is applied BEFORE the discount?

f(x) = .15x - 25.5

f(x) = .85x - 25.5

f(x) = .15x - 30

f(x) = .85x - 30

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