Question

Plzz helpp guys

At the beginning of an environmental study, a forest covered an area of 1500 km . Since then, this area has decreased by 2.4% each year. Lett be the number of years since the start of the study. Let y be the area that the forest covers in km². Write an exponential function showing the relationship between y and t.​

Answer 1

`y = 1500(0.024)^t`

Explanation:

Given

`a = 1500km` -- initial area

`b = 2.4\%` -- rate

`t = time` --- (years)

Required

Represent as an exponential function

An exponential function has the form:

`y = ab^t`

Where

`a = initial\ value`

`b = rate` and
`b \\e 1`

`t= time`

Substitute values for a and b, we have:

`y = 1500 * (2.4\%)^t`

Convert percentage to decimal

`y = 1500 * (0.024)^t`

`y = 1500(0.024)^t`

Hence, the exponential function that represents the scenario is:
`y = 1500(0.024)^t`