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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

Respuesta :

letmeanswer

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 [tex]\$20[/tex]

Each hour increase is [tex]5\%[/tex]

So the function is [tex]f(x)=20(1.05)^{x}[/tex]

Now if she works 8 hours, she will earn, [tex]= 20(1.05)^8[/tex]

[tex]\Rightarrow 20\times1.477 = 29.55[/tex]

So, the range will be 20 ≤ x ≤ 29.55

Answer:

28.14

Step-by-step explanation:

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