Answer:
Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's
Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's
Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters
Part D) The cost is $90
Step-by-step explanation:
Let
x-------> the number of hours (independent variable)
y-----> the total cost of rent scooters (dependent variable)
we know that
Sam's scooters
Rosie's scooters
using a graphing tool
see the attached figure
A. when does it make more sense to rent a scooter from Rosie's? How do you know?
For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters
B. when does it make more sense to rent a scooter from Sam's? How do you know?
For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters
C. Is there ever a time where it wouldn't matter which store to choose?
Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)
D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?
Rosie's scooters

For x=7 hours
substitute

The cost is $90
To answer this, you can set up a system of equations. Solve for one of the variables and substitute this new equation into the 2nd equation.
2x + 5y = 243 - I'll solve this one for x.
8x + 6y = 538
2x + 5y = 243
2x = 243 - 5y
2 2
x = 121.5 - 2.5y ; substitute this in for x in the second equation
8x + 6y = 538
8 (121.5 - 2.5y) + 6y = 538
972 - 20y + 6y = 538
972 - 14y = 538
-972 -972
-14y = -434
-14 -14
y = 31
<u><em>The cost of a rod (y) is $31. </em></u>
x = 121.5 - 2.5y
x = 121.5 - 2.5 x 31
x = 44
<em><u>The cost of a reel(x) is $44.</u></em>
6×3=18 this is the closets to twenty.
18×3=54
3×2=6
54+6=60
Nima can mow 60 yards in twenty days.
Answer: 3y+6
Step-by-step explanation: