Question

The neighborhood movie store rents a game machine for $12.50 plus $1.50 per day. the downtown store rents the same machine for $4 per day with no initial fee. after how many days will the total rental charge be the same for each store?

Answer 1

In 5 days the total rental charge is the same for each store.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

• A movie store rents a game machine for $12.50 plus $1.50 per day.
• The downtown store rents the same machine for $4 per day with no initial fee.

Let x be the days. The two-equation will be formed as:-

Total amount = 1.5x   +   12.5  

Total amount = 4x

For the same total amount, we will equate the two equations.

1.5x   +   12.5  =  4x

12.5  =  4x  -  1.5x

12.5  =  2.5x

x  =  12.5  /  2.5

x  =  5 days

Therefore In 5 days, the total rental charge is the same for each store.

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