Question

A contractor explains that they have a minimum charge of $500 and they charge $100/hr to fix damage to a fence caused by a fallen tree. However, they say that if the work takes 5 hours or more, they will not charge more than $1000 for the repair. Which of the following piecewise functions best describes this pricing strategy?

Answer 1

The best piecewise function that describes this pricing strategy is a total charge, t = 500 + 100x ≤ 1,000.

What is a piecewise function?

A piecewise function is a function built from pieces of different functions over different intervals.

Since the different piecewise functions are not provided in this question, we have worked out a function that answers the question.

Data and Calculations:

Minimum charge = $500

Charger per hour = $100

Maximum charge for repair = $1,000

Total charge, t = 500 + 100x

t = 500 + 100x ≤ 1,000

Where x = x ≤ 5

t = total charge.

Thus, the best piecewise function that describes this pricing strategy is a total charge, t = 500 + 100x ≤ 1,000.

Learn more about piecewise functions at https://brainly.com/question/27262465

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