If the cost of renting a pool at an aquatic center is either 30 per hour or 20 per hour with a 40 non-refundable deposit, then the cost of renting the pool is the same for both plans for 4 hours.
The number of hours for which the cost of renting the pool will be the same for both plans can be calculated by using an algebraic expression.
An algebraic expression is a type of equation that consists of both numbers and letters.
An algebraic expression for this problem can be given as,
30(x) = 20(x) + 40
Where x is equal to the number of hours.
The value of x can be calculated by rearranging the equation,
30(x) - 20(x) = 40
10(x) = 40
x = 40 ÷ 10
x = 4
Thus, the number of hours for which the cost of renting the pool same for both plans is 4 hours.
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