12.9k views
5 votes
Susan is putting money into a savings account. She starts with $750 in the savings account, and each week she adds $40.

Let S represent the total amount of money in the savings account (in dollars), and let W
represent the number of weeks Susan has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 16 weeks.

User Shine J
by
8.3k points

2 Answers

3 votes
s=$750+$40w
s=$750+$40(16)
s=$750+640
s=$1,390

User Kjetil B Halvorsen
by
8.5k points
6 votes
To model this situation, we are going to use the standard linear function:
y=mx+b.

1. Since S represent the total amount of money in the savings account,
y=S. We also know that each week she adds $40 to her account, so the slope of our linear equation will be
40W; therefore,
m=40W. Since she started her account with $750,
b=750.
Lets replace those values in our linear function:

y=mx+b

S=40W+750

We can conclude that equation that models this situation is:
S=40W+750

2. Now to find the total amount after 16 weeks, we just need to replace
W with 16 in our equation and simplify:

S=40(16)+750

S=640+750

S=1390

We can conclude that the amount of money in her account after 16 weeks is $1390
User Slembcke
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories