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

Answer:

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, $= 20(1.05)^8$

$\Rightarrow 20\times1.477 = 29.55$

So, the range will be 20 ≤ x ≤ 29.55