Question

Lora is comparing prices at two video game rental companies.

Rebound Game Rentals charges a base fee of $4 and an additional $2 per day. The equation that represents the given situation is shown below, where x represents the number of days and y represents the total cost in dollars.



Gale Rent-a-Game charges a base fee of $1 and an additional $3 per day. The equation that represents the given situation is shown below, where x represents the number of days and y represents the total cost in dollars.



Both video game rental companies would cost the same amount if the video game is rented for
days. On the coordinate grid, this solution is represented by the point ( _, _ )

Answer 1

In this situation, the dependent variable is the total cost and the independent variable is the number of days the video game is rented for. The equations representing the situation for each rental company can be found and set equal to each other to find the solution where the costs are the same.

Step-by-step explanation:

The dependent variable in this situation is the total cost, represented by y. The independent variable is the number of days the video game is rented for, represented by x.

Equation for Rebound Game Rentals:

y = 4 + 2x

Equation for Gale Rent-a-Game:

y = 1 + 3x

The solutions where the two video game rental companies would cost the same amount can be found by setting the equations equal to each other:

4 + 2x = 1 + 3x

2x - 3x = 1 - 4

-x = -3

x = 3

Therefore, if the video game is rented for 3 days, the total cost at both rental companies would be the same. This solution is represented by the point (3, _) on the coordinate grid.