Question

Two car rental companies charge an initial rental fee plus a fee per day. The table shows the total costs of renting a car for x days from
Discount Car Rentals. The total costy (in dollars) of renting a car for x days from Pay Less Rentals is represented by the equation
y=25x + 170. Which rental company charges less per day? How many days must you rent a car for the total costs to be the same?

Answer 1

Answer:

Step-by-step explanation:

Two car rental companies charge an initial rental fee and a fee per day.

Total cost for the company A is given by the equation,

y = 25x + 170

Car A charges $25 per day. [Slope of the line]

Another car rental company B charges as per table attached.

Per day car rental for the company B = $\frac{270-180}{4-2}$

                                                              = $\frac{90}{2}$

                                                              = $45 per day

Therefore, per day rental charged by company A is less.

Let the equation for the car rental by company A is,

y = mx + b

where m = per day rental charged by company A = $21.5

y = 45x + b

One point (2, 180) from the table lies on the equation.

Therefore, 180 = 45(2) + b

b = 180 - 90

b = 90

So the equation will be,

y = 45x + 90

If both the company charge the same after x day of rental,

45x + 90 = 25x + 170

45x - 25x = 170 - 90

20x = 80

x = 4

After 4 days car rentals for both the companies will be same.