Question

A tank containing 35 gallons of water is leaking at a rate of math 14 gallon per minute. Write an expression to determine the number of gallons left in the tank after minutes.

Answer 1

0.4

Explanation:

35 ÷ 14 = 2.5

14 ÷ 2.5 = 5.6

5.6 ÷ 14 = 0.4

(sorry if I'm incorrect)

Answer 2

• w(t) = 35 - 14t, 0 ≤ t ≤ 2.5

Explanation:

Let the volume of water left in the tank be w and time be t, then the required expression is:

• w(t) = 35 - 14t

Since w is not negative, we should add the restriction of t ≥ 0 and:

• 0 ≤ 35 - 14t
• 14t ≤ 35
• t ≤ 35/14
• t ≤ 2.5 min

So the expression is valid for 0 ≤ t ≤ 2.5 min