Question

at go - kart raceway, it costs $5 to rent a go - cart, plus $4 per hour of use. at k1 speedway it costs $10 to rent a go - cart, plus $2 per hour. which equation could represent the number of hours you would need to rent a go - cart at each location in order for the total cost to be the same.
5 + 2h = 10 + 4h
5h + 4 = 10h + 2
5 + 4h = 10 + 2h
10 - 5 = 4h - 2h

Explanation:

Step1: Define cost functions

Let $h$ be the number of hours. At GoKart Raceway, the cost $C_1$ is the sum of the rental - fee and the cost per hour, so $C_1 = 5+4h$. At K1 Speedway, the cost $C_2$ is $C_2 = 10 + 2h$.

Step2: Set costs equal

We want to find when the total cost is the same at both locations, so we set $C_1=C_2$. That gives us the equation $5 + 4h=10 + 2h$.

Answer:

$5 + 4h=10 + 2h$