Which one of the following scenarios can be modeled by an exponential function?(1 point)

Question

Responses

the number of weeds in a garden that decreases by 200 each week when the landscaper pulls the weeds
the number of weeds in a garden that decreases by 200 each week when the landscaper pulls the weeds

the number of weeds in a garden that decreases by 25% each week when the gardener pulls the weeds
the number of weeds in a garden that decreases by 25% each week when the gardener pulls the weeds

the number of weeds in a garden that decreases by 20 per hour when the garden owner pulls the weeds
the number of weeds in a garden that decreases by 20 per hour when the garden owner pulls the weeds

the number of weeds in a garden that decreases by a different amount each week depending on who pulls the weeds

Answer 1

The scenario that can be modeled by an exponential function is:

the number of weeds in a garden that decreases by 25% each week when the gardener pulls the weeds.

Exponential functions describe growth or decay processes where the change is proportional to the current amount. In this case, a constant percentage decrease each week represents exponential decay. The other scenarios either involve a constant decrease (linear) or do not follow a consistent rate, which do not fit the model of exponential functions.