Lora is comparing prices at two video game rental companies.

Question

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

So the first company's rental equation is 4+2d and the second is 1+3d. When the total charge would be the same for both is:

4+2d=1+3d -> 3+2d=3d -> 3=d

So they would have charged the same after 3 days and that amount would be 4+(2*3)=4+6=$10

Assuming the graph has days on the x-axis and amount on the y-axis, the point for that days is at (3,10)