Video Club A charges $10 for membership and $3 per movie rental. Video Club B charges $15 for membership and $2 per movie rental.

For how many movie rentals will the cost be the same at both video clubs? What is that cost?

write an equation
10 + 3x = 15 +2x -2x -2x
10 + x (1x) = 15 -10 -10
x = 5
cost= 25 (10 + 15)

Answered by Anonymous | 2024-06-10

After 5 rentals, the cost of renting movies will be the same at both Video Club A and Video Club B, which is $25.

The question pertains to finding the point where the cost of renting movies from Video Club A equals the cost of renting movies from Video Club B, given their respective membership and rental charges. We let x represent the number of movie rentals.
For Video Club A: Total Cost = Membership + (Rental per movie times Number of rentals) = $10 + ($3 times x)
For Video Club B: Total Cost = Membership + (Rental per movie times Number of rentals) = $15 + ($2 times x)
To find the number of rentals for which costs are the same, we set the total costs equal to each other:
$10 + ($3 times x) = $15 + ($2 times x)
Solving the equation for x, we subtract $2x from both sides, which gives us: $10 + x = $15
Subtracting $10 from both sides gives us: x = $5
Therefore, after 5 rentals, the cost will be the same at both video clubs, and that cost will be: $10 + ($3 times 5) = $25

Answered by qwarrow | 2024-06-25

The costs at Video Club A and Video Club B will be the same after 5 movie rentals. At this amount of rentals, the total cost will be $25. The equation derived from setting the cost equations equal to each other was solved to find 'x' as 5.
;

Answered by Anonymous | 2024-12-20