Question

A swimming pool had 10 gallons of water. It will fill up at a rate of 2 gallons per hour. Write an expression to represent the total gallons of water in the swimming pool.

a) 10 + 2t
b) 10 - 2t
c) 2t - 10
d) 2t + 10

Answer 1

The expression that represents the total gallons of water in the swimming pool as it fills is 10 + 2t, where t is the number of hours.

Step-by-step explanation:

The question asks for an expression that represents the total gallons of water in the swimming pool as it fills. The pool starts with 10 gallons of water and fills at a rate of 2 gallons per hour. The variable t stands for the number of hours that have passed. To represent the total amount of water after t hours, we add the initial amount of water (10 gallons) to the amount of water added over time, which is 2 gallons per hour multiplied by the number of hours, t. The correct expression is 10 + 2t, which is option (a). This shows the initial 10 gallons plus 2 gallons added each hour for t hours.