Question

PLEASE HELP

Jason works at least 20 hours,
but no more that 30. He
earns $15 per hour. The
function f(t) = 15t
represents the money he
earns for working t hours.
a) What is the practical
domain?
RUBRIC:
b) What is the
practical range?
Answer the questions and
show all your work in the
space below.

Answer 1

The practical domain for the function f(t) = 15t is [20, 30],

The practical range is [$300, to $450].

Explanation:

since Jason works at least 20 hours and no more than 30 hours, the practical domain for the function f(t) = 15t would be the interval [20, 30].

The function f(t) = 15t represents Jason's earnings for working t hours at a rate of $15 per hour. The practical range is the set of all possible earnings, which can be calculated by evaluating the function for the minimum and maximum values in the practical domain:

For the minimum value in the practical domain, we substitute t = 20 into the function: f(20) = 15 * 20 = $300. So, $300

For the maximum value in the practical domain, we substitute t = 30 into the function: f(30) = 15 * 30 = $450. So, $450 would be the maximum value in the practical range.

:) This is my explanation.