Question

Veronica works each day and earns more money per hour the longer she works. Write a function to represent a starting pay of $20 with an increase each hour by 5%. Determine the range of the amount Veronica makes each hour if she can only work a total of 8 hours.

20 ≤ x ≤ 28.14
20 ≤ x ≤ 29.55
20 ≤ x ≤ 26.80
20 ≤ x ≤ 25.53

Answer 1

28.14

Explanation:

Answer 2

The range of the amount Veronica makes each hour if she can only work a total of 8 hours is 20 ≤ x ≤ 29.55

Solution:

Let us assume that Veronica worked x hours

The starting pay is
`\$20`

Each hour increase is
`5\%`

So the function is
`f(x)=20(1.05)^(x)`

Now if she works 8 hours, she will earn,
`= 20(1.05)^8`

`\Rightarrow 20*1.477 = 29.55`

So, the range will be 20 ≤ x ≤ 29.55