Question

An exponential function has a starting value of 13 and a growth rate of 0.78%. Write an equation to model the situation.

Answer 1

Answer:

The equation that models the situation is $A(t) = 13(1.0078)^t$

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

$A(t) = A(0)(1+r)^t$

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 $A(0) = 13, r = 0.0078$

Write an equation to model the situation.

$A(t) = A(0)(1+r)^t$

$A(t) = 13(1+0.0078)^t$

$A(t) = 13(1.0078)^t$

The equation that models the situation is $A(t) = 13(1.0078)^t$