Exercise #1: Jannine has $450 in her savings account at the beginning of the year. She places money in the account at the rate of $5 per week. We want to model the amount of money she has in savings, s, as a function
of the number of weeks she has been saving, w.
(a) Fill out the table below for some of the number of (b) Use information in the givens or in the table to
weeks. Show the calculations that result in your write an equation for the savings, s, as a linear
answer.
function of the weeks she has been saving, w.
Number
Amount in
Calculation
of weeks, w
Savings, s
0
1
(c) If Jannine saves for exactly one year, what is the
range in her savings over the year? Show how
you arrived at your answer.
5
10
(d) Why would it not make sense to evaluate s(6.5)? In other words, what types of numbers belong in the
domain of this linear function?
(e) Use two points from the table to verify that the rate of change of the function is 5. How do the units show
up in the calculation?