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 = [tex]\frac{270-180}{4-2}[/tex]
= [tex]\frac{90}{2}[/tex]
= $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.
