Question

question
currently, the number of brownies sold at a bake sale is 36. it is estimated that the number of brownies sold will decrease by 2% each hour. find the total number of brownies sold at the end of 7 hours. (round your answer to the nearest whole number.)
provide your answer below:

Explanation:

Step1: Identify the formula

The formula for exponential decay is $A = P(1 - r)^t$, where $P$ is the initial amount, $r$ is the rate of decay as a decimal, and $t$ is the time. Here, $P = 36$, $r=0.02$, and $t = 7$.

Step2: Substitute the values

$A=36\times(1 - 0.02)^7=36\times0.98^7$.

Step3: Calculate $0.98^7$

$0.98^7\approx0.8681$.

Step4: Calculate $A$

$A = 36\times0.8681\approx31.25$.

Step5: Round to the nearest whole number

Rounding $31.25$ to the nearest whole number gives 29.

Answer:

29