Question

Water is filling a pool such that the number of gallons, g, that are in the pool is proportional to the number of minutes, m, the pool has been filling. If 335 gallons of water are in the pool after 5 minutes, then which expression below gives the number of gallons in the pool after 14 minutes?

A) 9 = 5(335) + 14
B) g = 14(5) + 335
C) g = 14(335) / 5
D) 9 = 5(335) / 14

Answer 1

The expression that gives the number of gallons in the pool after 14 minutes is g = 67 * 14.

Step-by-step explanation:

The question states that the number of gallons, g, in the pool is proportional to the number of minutes, m, the pool has been filling. In other words, we can write the relationship as g = km, where k is the constant of proportionality. We are given that after 5 minutes, there are 335 gallons in the pool. Using this information, we can set up the equation 335 = k * 5 and solve for k. Dividing both sides by 5 gives us k = 67. Therefore, the expression that gives the number of gallons in the pool after 14 minutes is g = 67 * 14.