Piecewise Word Problems

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

• $12.75
• $35
• $43.40
• $27.75

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

A car rental agency charges $50 per day for the first 3 days and $20 per day for each additional day. Write a piecewise function to represent the cost of renting a car for x days.

• f(x) = $50 if x <= 2 f(x) = $50 + ($20 * (x - 2)) if x > 2.

• f(x) = $50 if x <= 4 f(x) = $50 + ($20 * (x - 4)) if x > 4.

• f(x) = $50 if x <= 1 f(x) = $50 + ($20 * (x - 1)) if x > 1.

• f(x) = $50 if x <= 3 f(x) = $50 + ($20 * (x - 3)) if x > 3

A movie theater charges $8 for a matinee show and $12 for an evening show. Write a piecewise function to represent the cost of attending x movies.

• f(x) = $8 * x for x > 1

• f(x) = $12 for 0 < x <= 1

• The piecewise function to represent the cost of attending x movies is: f(x) = $0 for x <= 0 f(x) = $8 for 0 < x <= 1 f(x) = $8 + ($12 * (x - 1)) for x > 1

• f(x) = $8 for x <= 0

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

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))

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.

A company charges $20 for the first 2 hours of work and $10 for each additional hour. Write a piecewise function to represent the cost of x hours of work.

• f(x) = $20 + ($5 * (x - 2)) if x > 2

• f(x) = $10 if x <= 2

• f(x) = $15 + ($10 * (x - 2)) if x > 2

• f(x) = $20 if x <= 2 f(x) = $20 + ($10 * (x - 2)) if x > 2