69.0k views
0 votes
Heather is putting money into a savings account. She starts with 450 in the savings account, and each week she adds 60.

Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Heather 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 13 weeks.

User Kmanzana
by
4.5k points

2 Answers

1 vote

Answer:

1230

Explanation:

60 times 13 you get the answer of 780 then you add 450 to it and boom

User Sophtware
by
5.3k points
3 votes

We can create an equation for this type of problem where S represents the savings after W weeks.

From the question, we know that Heather starts with 450 dollars in her savings account. She then adds 60 dollars weekly for a certain number of weeks, W.

Therefore, we can write the relationship between the savings S and the time (in weeks) W as follows:
S = savings_initial + savings_per_week * W

Where:
- savings_initial is the initial amount of money in the savings account, which is 450 dollars,
- savings_per_week is the amount of money Heather adds to her savings account every week, which is 60 dollars,
- W is the number of weeks Heather has been adding money to her savings account.

Substituting these into our equation, we get:
S = 450 + 60 * W

Now, we're asked to find the total amount of money in the savings account after 13 weeks. We can do this by substituting W=13 into our equation:

S = 450 + 60 * 13

Therefore, the total amount of money in the savings account after 13 weeks is

Answer: 1230 dollars.

User EMMERICH
by
6.2k points