Question

Alan is putting money into a savings account. He starts with $550 in the savings account, and each week he had $70. Let S represent the total amount of money in the savings account in dollars, and let W represent the number of weeks Allen 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 18 weeks.

Answer 1

Equation: S = $70·W + $550

Amount of manoey after 18 weeks: $1810

To solve this, we have two variables, the amount of weeks (W) and savings (S)

Each week, $70 dolars are added to the account. Then we can write this as: $70·W.

Now there is an initial amount of $550. Then we must add that mount to the previous calculation: $70·W + $550

This give us the savings on each week. THen THe complete equation is S = $70·W + $550

Now, to know the savings after 18 weeks, we can replace W = 18 and solve:

`\begin{gathered} S=$70\cdot W+$550 \\ S=70\cdot18+550 \\ S=1260+550=1810 \end{gathered}`

Thus, the savings after 18 weeks is $1810