Question

Susannah has a high-yield savings account into which she deposits $140 each month. At the beginning of the year, Susannah's account balance is $400. In the equation below, x represents the amount of time, and y represents Susannah's account balance.
y = $140x + $400

Not including interest, what will her account balance be at the end of the year?

Answer 1

Answer:

Her account balance will be $2,080 at the end of the year

Step-by-step explanation:

Let

y ----> Susannah's account balance

x ---> is the  amount of time in months

we have

$y=140x+400$

This is a linear equation in slope intercept form

where

The slope or unit rate is equal to

$m=\ 140\ per\ month$

The y-intercept or initial value is equal to

$b=\ 400$

Remember that

One year is equal to 12 months

so

For x=12 months

substitute in the linear equation

$y=140(12)+400=\ 2,080$