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.
<u>Step-by-step explanation:</u>
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.
← slope formula