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Write a function in terms of t that represents the situation.

Sales of $10,000 increase by 65% each year.
y =
13

User JuanZe
by
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1 Answer

5 votes

Answer:

A function in terms of t that represents the situation is:


\:y\:=\:10,000\left(1.65\right)^t

Explanation:

We know that the exponential growth function is of the form


y\:=\:a\:\left(1\:+\:r\right)^t

Here:

  • a = initial value
  • r = growth rate
  • t = number of time intervals that have passed

As the sales of $10,000 represent an initial condition. Thus,

a = 10,000

Given that sales are increased by 65% every year.

r = 65% = 0.65

now substituting a = 10,000 and r = 0.65 in the function


y\:=\:10,000\left(1\:+\:0.65\right)^t


\:y\:=\:10,000\left(1.65\right)^t

Therefore, a function in terms of t that represents the situation is:


\:y\:=\:10,000\left(1.65\right)^t

User Hidemyname
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