Question

1. which of the following situations can be modeled by a function whose value changes at a constant rate per unit of time?

a) the water level in a lake increases by 2 inches a month.
b) the amount of money in a bank account increases by 2 times each year.
c) the population of mcnair high school increases by 2% a year.
d) the number of pandas in the zoo increases by 3 pandas each year.

Explanation:

A constant rate per unit time means a fixed absolute change over time. Option a has a fixed 2-inch increase monthly, option d has a fixed 3-panda increase yearly—both are constant absolute rates. Options b (multiplicative growth) and c (percentage growth) are exponential, not constant rate.

Answer:

a) The water level in a lake increases by 2 inches a month, d) The number of pandas in the zoo increases by 3 pandas each year