Question

Tyrese works each day and earns more money per hour the longer he works. Write a function to represent a starting pay of $20 with an increase each hour by 3%. Determine the range of the amount Tyrese makes each hour if he can only work a total of 8 hours.

A. 20 ≤ x ≤ 22.07
B. 20 ≤ x ≤ 24.60
C. 20 ≤ x ≤ 25.34
D. 20 ≤ x ≤ 26.10

Answer 1

Option B -
`20\leq x\leq 24.60`

Explanation:

Given : Tyrese works each day and earns more money per hour the longer he works. Write a function to represent a starting pay of $20 with an increase each hour by 3%.

To find : Determine the range of the amount Tyrese makes each hour if he can only work a total of 8 hours.

Solution :

A starting pay is $20.

let x be the number of hours.

There is pay of $20 with an increase each hour by 3%.

i.e. Increment is
`(3)/(100)* 20* x=(3)/(5)x`

Total earnings a function can represent is

`y=20+(3)/(5)x`

We have given, he can only work a total of 8 hours.

So, The maximum amount she make in 8 hours is

`y=20+(3)/(5)* 8=20+4.8`

`y=24.8`

Initial amount is $20.

Therefore, The range of the amount Tyrese makes each hour if he can only work a total of 8 hours is
`20\leq x\leq 24.80`

So, Approximately the required result is option B.