Question

a function has a constant halving time. what type of function does this represent? a. exponential growth b. exponential decay c. decreasing linear d. increasing linear

Explanation:

1. Recall the definitions of each function type:

• Exponential growth: A function where the quantity increases by a constant percentage rate over time, so it grows without a constant halving time (it's increasing, not halving).
• Exponential decay: A function where the quantity decreases by a constant percentage rate over time. A key characteristic of exponential decay is having a constant halving time (the time it takes for the quantity to reduce to half its current value remains the same).
• Decreasing linear: A function where the quantity decreases by a constant amount (not a percentage) over time. The rate of decrease is constant in terms of amount, not in terms of halving (the time to halve would change as the quantity gets smaller).
• Increasing linear: A function where the quantity increases by a constant amount over time, so it's not related to halving.

1. Based on the above analysis, a function with a constant halving time represents exponential decay.

Answer:

B. Exponential decay