## You need to rent a video camera for your school project. Murphy’s Camera charges a \$30 rental fee plus \$35 per day. Allied Rental charges a

Question

You need to rent a video camera for your school project. Murphy’s Camera charges a \$30 rental fee plus \$35 per day. Allied Rental charges a \$45 rental fee plus \$30 per day. Which company should you choose?

Independent variable (x):

Dependent variable (y):

System of equations:

Graph:

A. When does it make sense to rent a camera from Murphy’s? How do you know?
B. When does it make sense to rent a camera from Allied Rental? How do you know?
C. Is there ever a time where it wouldn’t matter which store to choose? Explain what this means in the context of a “system of equations.”
D. If you were renting a camera for 3 days, how much money would you pay for each store? Show all work.

in progress 0
3 months 2022-02-10T05:06:17+00:00 1 Answer 0 views 0

1. A. If a camera is rented for 1 or 2 days, it would be logical to rent it from Murphy’s.

B. If a camera is needed for more than 3 days, it would make sense to rent it from Allied rental.

C. Yes, if a camera is rented for 3 days both rentals charge the same money.

C. If you were need a camera for 3 days, you would have to pay \$135 for both stores.

Step-by-step explanation:

Step 1; Murphy’s camera costs \$30 to rent and an additional \$35 for each day of rental. So the equations are

y = \$30 + (x × \$35), where y is total cost and x is the number of days rented.

So for x = 1, y = \$30 + (1 × \$35) = \$30 + \$35 = \$65

So for x = 2, y = \$30 + (2 × \$35) = \$30 + \$70 = \$100

So for x = 3, y = \$30 + (3 × \$35) = \$30 + \$105 = \$135

So for x = 4, y = \$30 + (4 × \$35) = \$30 + \$140 = \$170

So for x = 5, y = \$30 + (5 × \$35) = \$30 + \$175 = \$ 205.

Step 2; Allied rental costs \$45 to rent and a \$30 for each day of rental. So the equations are as follows

y = \$45 + (x × \$30), where y is total cost and x is the days rented

So for x = 1, \$45 + (1 × \$30) = \$45 + \$30 = \$75

So for x = 2, \$45 + (2 × \$30) = \$45 + \$60 = \$105

So for x = 3, \$45 + (3 × \$30) = \$45 + \$90 = \$135

So for x = 4, \$45 + (4 × \$30) = \$45 + \$120 = \$165

So for x = 5, \$45 + (5 × \$30) = \$45 + \$150 = \$195

Step 3; Comparing both prices over 5 days. Murphy’s is cheaper for until 2 days. On day 3 both the rentals cost the same but after day 4, allied rentals is the better option.