Question

Jenny wants to earn $2000 this summer babysitting. She plans on working 150 hours over the summer.a. Based on her plan, what is the rate, in dollars per hour, that Jenny must charge customers for babysitting to earn $2000 over the summer? Show or explain how you got your answer?Jenny also want to take a summer class at the local college. As a result, she will have to work 50 hours less than the total number of hours she had originally planned to workb. What is the rate, in dollars per hour, that Jenny must charge for babysitting to still earn S2000? Show or explain how you got your answer?c. Write an equation that represents the relationship between x, the number of hours Jenny will have to work, and y, the rate she must charge to earn $2000.d. Explain how a change in x, the number of hours Jenny will have to work, affects y, the rate she will have to charge customers to earn $2000, in your equation from part (c).

Answer 1

A) She wants to earn $2000 and work 150 hour so the rate will be the divirion so:

$\frac{2000}{150}=13.33$

So she should charge customers $13.33 dollars per hour

B) now she just can work 100 hour so the new rate will be:

$\frac{2000}{100}=20$

So now she should charge $20 dollars per hour.

C) In this case the rate will be the slope so we can write an equation like:

$\frac{2000}{x}=y$

D) in this equation we can see that x is inverse to y so the bigger become x, y will be shorter and if x is a low number the y will increase.