Question

4) Ben and his friends are going to play putt-putt. At one location, they can pay $2.00

rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus
$6.00 per game. How many games would they have to play in order for either location to
cost the same amount?

!I need the equation!

!and the x= answer!​

Answer 1

Either location costs the same when they play 4 games

Explanation:

The total cost for playing putt-putt consists of fixed rentals and a variable amount per game.

On one location Ben and his friends can pay $2 rentals plus $7.50 per game.

If x is the number of games played, then the total cost at this location is:

C1(x) = 7.50x + 2

At another location, it would cost $8 for rentals plus $6 per game. The second function is:

C2(x) = 6x + 8

It's required to find the number of games x in order for either location to cost the same amount.

It can be done by equating both cost functions:

7.50x + 2= 6x + 8

Subtracting 2 and 6x:

7.50 - 6x = 8 -2

Operating:

1.5x = 6

Dividing by 1.5:

x = 6 / 1.5

x = 4 games

Either location costs the same when they play 4 games