Answer:
The equation that models the situation is [tex]A(t) = 13(1.0078)^t[/tex]
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the starting value and r is the growth rate, as a decimal.
Starting value of 13 and a growth rate of 0.78%.
This means that [tex]A(0) = 13, r = 0.0078[/tex]
Write an equation to model the situation.
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 13(1+0.0078)^t[/tex]
[tex]A(t) = 13(1.0078)^t[/tex]
The equation that models the situation is [tex]A(t) = 13(1.0078)^t[/tex]
