Question

Lucy is putting money into a savings account. She starts with $450 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 lucy 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 weeksEquation-Total amount of money after 16 weeks-

Answer 1

Let:

W = Number of weeks

S = Total amount of money

Let's write the equation in the slope-intercept form:

$\begin{gathered} y=mx+b \\ where: \\ y=S \\ x=W \\ m=slope=40 \\ b=y-intercept=Initial_{\text{ }}amount=450 \\ so: \\ S=40W+450 \end{gathered}$

The total amount of money after 16 weeks can be calculated as follows:

$\begin{gathered} W=16 \\ S=40(16)+450 \\ S=640+450 \\ S=1090 \end{gathered}$

Answer:

$1090