Question

Grandmother decides to give a monthly allowance to her granddaughter from the trust fund. The allowance is to start at $ at the birth of her granddaughter, and then increase by $ each month afterwards. Describe the grandmother's gifts, approximately, in terms of a continuous rate (in dollars per year). (Use a linearly increasing function with no constant term for .)

Answer 1

`y(t) =10t`

Explanation:

The summary of the given parameters are:

`a = 0` --- initial savings

`m = 10` --- monthly savings

`t \to` months

Required

The linear function

The linear function is calculated using:

y(t) = Initial Savings + Monthly Savings * Months

So, we have:

`y(t) =a + m*t`

`y(t) =0 + 10*t`

`y(t) =10t`