Answer:
a) Which rental company charges less per day?
Payless rental company
b) How many days must you rent a car for the total costs to be the same?
3 days.
Step-by-step explanation:
We have car rental companies
Discount car rentals and Pay less car rentals.
x = number of days
y = Total cost.
a) Let's assume the starting day of renting a car is 2 days
We need to determine the Equation for discount rentals.
For Discount car rentals
2 days = $185
4 days = $265
6 days = $345
8 days = $425
The difference between 2 days = $265 - $185 = $80
If the difference between 2 days = $80
Difference between 1 day = $80/2
= $40
If you rent a car for 1 day,
185 - 40 =$145
Hence, the Equation for payment for Discount rentals =
y = 40x + 105
b) For Pay less car rentals
This equation was given: y = 55x + 60.
y = Total cost, x = number of days
a) 1 day
y = 55(1) + 60
y = $115
b) 2 days
y = 55(2) + 60
y = 110 + 60
y = $170
c) 3 days
y = 55(3) + 60
= 165 + 60
= $225
d)For 4 days
y = 55x + 60.
y = 55 × 4 + 60
y = 220 + 60
y = $280
e) For 5 days
y = 55x + 60.
y = 55 × 5 + 60
y = 275 + 60
y = $335
f) For 6 days
y = 55x + 60.
y = 55 × 6 + 60
y = 330 + 60
y = $380
g) For 7 days
y = 55x + 60.
y = 55 × 7 + 60
y = 385 + 60
y = $445
h) For 8 days
y = 55x + 60.
y = 55 × 8 + 60
y = 440 + 60
y = $500
a) Which rental company charges less per day?
The total coast for renting a car as determined in the above calculation
For 1 day in Discount car rentals = $145
For 1 day in Payless car rentals = $115
From the above calculation, it is Payless rental company
b) How many days must you rent a car for the total costs to be the same?
We equate both equations to each other
y = 40x + 105 = y = 55x + 60.
40x + 105 = 55x + 60
105 - 60 = 55x - 40x
45 = 15x
x = 45/15
x = 3 days.
Therefore, after 3 days, the total cost of renting a car from Discount car rentals or Payless car rentals is the same.
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