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

Answer:

$y = 1500(0.024)^t$

Step-by-step 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 $b \ne 1$

$t= time$

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: $y = 1500(0.024)^t$