Question

Elena works at least 4 hours but not more than 8 hours. the amount of money elena earns for working t hours is represented by a function. p(t)=9.5t what is the practical domain of the function? all real numbers from 4 to 8, inclusive. all integers from 4 to 8, inclusive. all real numbers. all multiples of 9.5 between 38 and 76, inclusive

Answer 1

all real numbers from 4 to 8, inclusive

Explanation:

Answer 2

Let

t-------> the number of hours

P(t)----> the amount of money Elena earns

we know that

`P(t)=9.5t`

`t\geq 4\ hours`

`t \leq 8\ hours`

so

`4\ hours \leq t \leq 8\ hours`

The practical domain of the function is the interval---->
`[4,8]`

that means

all real numbers from
`4` to
`8` , inclusive

therefore

the answer is the option

all real numbers from
`4` to
`8` , inclusive