Question

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?​

Answer 1

[50, 410]

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.