Question

A wildfire starts at 25 acres and grows 3% each hour. Let t represent the amount of hours, and let y represent the total amount of acres. Write an equation that models how many acres, y, have burned after t hours answer

Answer 1

Answer:

$y=25(1+\frac{3}{100})^t$

Explanation:

25 increased by 3% would be 25(1 + 3/100)

25(1 + 3/100) would get multiplied again by (1 + 3/100) the next hour as a result of its growth. (1 + 3/100) would get multiplied each hour to the new number to increase itself by 3%. Hence the amount of acres burned after t hours is 25(1 + 3/100)^t