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

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

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`