Piecewise Word

Piecewise Word

12th Grade

15 Qs

quiz-placeholder

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Piecewise Word

Piecewise Word

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF.IF.B.4, HSF.LE.B.5

Standards-aligned

Created by

Anthony Clark

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A shipping company charges $5 for the first pound of a package and $2 for each additional pound. Write a piecewise function to represent the cost of shipping a package that weighs x pounds.

f(x) = 5 + 2(x-1) if x > 1, f(x) = 5 if x = 1

f(x) = 2(x-1)

f(x) = 5x

f(x) = 5 + 2x

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A phone plan charges $30 for the first 500 minutes of talk time and $0.10 per minute for each additional minute. Write a piecewise function to represent the cost of x minutes of talk time.

f(x) = $30 if x <= 500 f(x) = $30 + ($0.10 * (x - 500)) if x > 500

f(x) = $30 if x <= 500 f(x) = $0.10 * (x - 500) if x > 500

f(x) = $30 if x <= 500 f(x) = $0.10 * x if x > 500

f(x) = $0.10 * x if x <= 500 f(x) = $30 if x > 500

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A taxi charges $3.50 for the first mile and $2.50 for each additional mile. Write a piecewise function to represent the cost of a taxi ride that is x miles long.

f(x) = $3.50 + ($2.50 * (x + 1))

f(x) = $3.50 + ($2.50 * (x - 1))

f(x) = $3.50 + ($2.50 * x)

f(x) = $3.50 + ($2.50 * (x - 2))

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A gym membership costs $50 per month for the first 6 months and $30 per month for each additional month. Write a piecewise function to represent the cost of a gym membership for x months.

f(x) = $50 + ($30 * x) if x <= 6 f(x) = $30 if x > 6.

f(x) = $50 if x <= 6 f(x) = $30 + ($30 * (x - 6)) if x > 6.

f(x) = $50 if x <= 6 f(x) = $50 + ($30 * (x - 6)) if x > 6

f(x) = $50 if x <= 6 f(x) = $30 if x > 6.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A tutoring service charges $40 per hour for the first 2 hours and $30 per hour for each additional hour. Write a piecewise function to represent the cost of x hours of tutoring.

f(x) = $40x, if x <= 2 f(x) = $30(x-2), if x > 2

f(x) = $40x, if x <= 2 f(x) = $30(x+2), if x > 2

f(x) = $40x, if x <= 2 f(x) = $40 + $30(x-2), if x > 2

f(x) = $40x, if x <= 2 f(x) = $30x, if x > 2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A water park charges $25 for the first 2 hours of admission and $15 for each additional hour. Write a piecewise function to represent the cost of x hours of admission.

f(x) = $15, if x <= 2

f(x) = $25, if x <= 2 f(x) = $25 + $15(x-2), if x > 2

f(x) = $25 + $10(x-2), if x > 2

f(x) = $25, if x <= 1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A pizza place charges $10 for a small pizza, $15 for a medium pizza, and $20 for a large pizza. Write a piecewise function to represent the cost of ordering x pizzas.

The piecewise function to represent the cost of ordering x pizzas is: f(x) = 10x for 0 <= x < 5 f(x) = 15x for 5 <= x < 10 f(x) = 20x for x >= 10

f(x) = 12x for 5 <= x < 10

f(x) = 5x for 0 <= x < 5

f(x) = 25x for x >= 10

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