Question

Which function would best model the amount of milk remaining in a jug after a certain number of days if the jug initially contains 4 quarts and is predicted to spoil after 7 days?

A. f(d) = 4 - d/7
B. f(d) = 4 ⋅ (1 - d/7)
C. f(d) = 4 ⋅ (7-d/7)
D. f(d) = 4 - 7d

Answer 1

The best function to model the amount of milk remaining in the jug is f(d) = 4 ⋅ (1 - d/7).

Step-by-step explanation:

The function that would best model the amount of milk remaining in the jug after a certain number of days is option B - f(d) = 4 ⋅ (1 - d/7).

This function represents the concept of exponential decay, where the amount of milk decreases over time. The initial amount of milk in the jug is 4 quarts, and the jug is predicted to spoil after 7 days. The function multiplies the initial amount of milk by a decreasing factor, which is determined by the number of days passed (d/7).

For example, after 1 day, the function would give f(1) = 4 ⋅ (1 - 1/7) = 4 ⋅ (6/7) ≈ 3.43 quarts of milk remaining.