Answers2026-27 Mathematical Models with Applications1-1.1 Mathematical ModelingQuestion 4
4
QuizMultiple Choice

1-1.1 Mathematical Modeling

Question 4 • 2026-27 Mathematical Models with Applications

Solve the problem.Initially a pool contains 250 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.4 gallons of water per minute. Write a linear model that represents the amount of water, V, in the pool as a function of time, t, in minutes.

Answer
A
V(t) = 5.4t
B
V(t) = 5.4t + 250
C
V(t) = -5.4t + 250
D
V(t) = 250t + 5.4

Explanation

The pool starts with 250 gallons, so the model’s initial value is 250. It gains 5.4 gallons each minute, so the rate of change is +5.4. Therefore, V(t) = 5.4t + 250, which is choice B.

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1-1.1 Mathematical Modeling