The daily cost of hiring a plumber, y, to work hours on a repair project can be modeled

using a linear function. The plumber charges a fixed cost of $50 plus an additional cost of

$45 per hour. The plumber works a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?

Question

Mathematics

Kameron Yang

30 November, 17:12

The daily cost of hiring a plumber, y, to work hours on a repair project can be modeled

using a linear function. The plumber charges a fixed cost of $50 plus an additional cost of

$45 per hour. The plumber works a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?

+2

Answers (1)

Know the Answer?

Theodore Weeks · Answer 1

[50, 410]

Step-by-step explanation:

If the plumber works 0 hours, he still charges $50, so that is the minimum of the range of charges.

If the plumber works 8 hours, his hourly charge of 8*$45 = $360 is added to his fixed charge of $50 for a total of $410. That is the maximum of the range of daily charges.

The range of the function is $50 to $410.