Question

Model Kara’s plan with a table,graph, and a explicit and recursive equation

Answer 1

We will write functions for the money that Kara and Kevin will receive each day.

1) The first day, Kara receives $3, and then she receives $1 more each day.

The money that she receives the n day is given by the following recursive function

`f(n)=f(n-1)+1`

where n is the nth day, and f(1) = 3. We can also write this function in the following form:

`f(n)=3+(n-1)\cdot1`

2) In the case of Kevin, he receives $0.25 the first day, and the next day he will receive the double.

So we can write the following recursive function:

`g(n)=2\cdot g(n-1)`

where n is the nth day, and g(0) = 0.25/2. We can also write this function in the following form: