Question

The number of subscribers, f(t), to a magazine after t years is shown by the equation below: f(t) = 95(0.75)ᵗ. Which conclusion is correct about the number of subscribers to the magazine?

1) It increased by 25%
2) It decreased by 25%
3) It increased by 75%
4) It decreased by 75%

Answer 1

2) It decreased by 25%. The number of subscribers to the magazine decreased by 25%.

Step-by-step explanation:

The number of subscribers to the magazine is given by the equation f(t) = 95(0.75)t. To determine the conclusion about the number of subscribers, we need to analyze the equation. The exponent (t) represents the number of years, and the base (0.75) represents the rate of change. In this case, the base is less than 1, which means the number of subscribers is decreasing over time. Therefore, the correct conclusion is option 2) It decreased by 25%.