Question

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

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 200 each week when the landscaper 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 first scenario: "the number of weeds in a garden that decreases by 25% each week when the gardener pulls the weeds."

Reason: exponential change means a constant percentage (multiplicative) change each time period. This gives N(t)=N0*(0.75)^t. The others are linear or variable.