Question

Kenya is considering two different car purchase options:

Dealer A: $2,450 down payment and $200 per month.
Dealer B: $3,050 down payment and $175 per month.
When will Kenya have paid the same total amount for both options?

A) 16 months
B) 20 months
C) 24 months
D) 28 months

Answer 1

Kenya will have paid the same total amount for both options after 24 months.

Step-by-step explanation:

In order to determine when Kenya will have paid the same total amount for both options, we need to find the point of intersection between the total cost functions for Dealer A and Dealer B.

The total cost for Dealer A is given by the equation TA = 2450 + 200m, where TA represents the total cost and m represents the number of months.

The total cost for Dealer B is given by the equation TB = 3050 + 175m, where TB represents the total cost and m represents the number of months.

To find the point of intersection, we need to solve the equation TA = TB for m:

2450 + 200m = 3050 + 175m

25m = 600

m = 24

Therefore, Kenya will have paid the same total amount for both options after 24 months.