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

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 [tex]\frac{3}{100}\times 20\times x=\frac{3}{5}x[/tex]

Total earnings a function can represent is

[tex]y=20+\frac{3}{5}x[/tex]

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

So, The maximum amount she make in 8 hours is

[tex]y=20+\frac{3}{5}\times 8=20+4.8[/tex]

[tex]y=24.8[/tex]

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 [tex]20\leq x\leq 24.80[/tex]

So, Approximately the required result is option B.