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Sagot :
Answer:
A function in terms of t that represents the situation is:
[tex]\:y\:=\:10,000\left(1.65\right)^t[/tex]
Step-by-step explanation:
We know that the exponential growth function is of the form
[tex]y\:=\:a\:\left(1\:+\:r\right)^t[/tex]
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
[tex]y\:=\:10,000\left(1\:+\:0.65\right)^t[/tex]
[tex]\:y\:=\:10,000\left(1.65\right)^t[/tex]
Therefore, a function in terms of t that represents the situation is:
[tex]\:y\:=\:10,000\left(1.65\right)^t[/tex]
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