Question

To rent a jet ski at sams costs $25 plus $3 per hour. at claires the same jet skis cost $5 plus $8 per hour. at how many hours will the rental cost at both shops be equal?

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mailboxes plus sends packages overnight for $5 plus $0.25 per ounce. united packages charges $2 plus $0.35 per ounce. Mrs. Schultz notices that her package would cost the same to mail using either service. how much does her package weigh?

Answer 1

Question 1 :(THIS IS NOT MY ANSWER, I HAVE GOTTEN THIS FROM A DIFFERENT SITE, BUT WANTED TO LIST IT HERE) If Sam's charges $3 per hour plus a $25 service charge then,

letting h = # hours rented... Sam's equation for total cost is:

S = 3h + 25

Claire's charges $8 per hour plus a $5 service charge so

C = 8h + 5

At how many hours will the rental cost be the same?

To solve that set the equations equal and solve for h

8h+5=3h+25 subtract 3h from both sides

5h +5 = 25 subtract 5 from both sides

5h = 20 divide both sides by 5

h = 4

Rental cost is the same amount if the time rented is 4 hours

Under what conditions would you rent from Sam's as opposed to Claire's?

Obviously, what we want to know is when one cost less than the other...

8h + 5<3h + 25 will tell us when Claire's costs are less than Sam's.

Following the same steps as above, replacing the equal sign with

a less than sign we get:

h < 4

For any rental time frame less than 4 hours, Claire's cost less total

than Sam's. Thus, rent from Claire's for time periods under 4 hours,

and rent from Sam's for time frames over 4 hours.