Question

Algebra 1 - Midterm Part 2 - Common
1. When Joe graduated from college, he had $1000 in his savings
account. When he began working, he decided he would add $120
per month to his savings account.
a. Write a linear equation to
compute the amount of
money, y, in Joe's account
after x months of saving.
ons of saving
b. Graph the line.
c. Use the equation to compute the amount of money in Joe's
account after 6 months.
So is among
d. Joe needs $3160 for a down payment for a car. How long will
it take for Joe's account to reach this amount?

Answer 1

The linear equation is y = 1000 + 120x, at the end of 6 months, Joe will have $1720 in his account and Joe needs to save for at least 18 months in order to afford the down payment.

Data;

• Initial savings = $1000
• Recurrent = $120

a)

Linear Equation

The linear equation to compute the amount of money (y) he has after x months of savings

This can be written as

$y = 1000 + 120x$

b)

Graphing this line, see attachment

c)

The amount Joe has after 6 months

$y = 1000 + 120x\\x = 6\\y = 1000 + 120(6)\\y = 1000 + 720\\y = 1720$

after 6 months, Joe will have $1720 in his account.

d)

Joe needs $3160 down payment for a car, he would have to save x number of months.

$3160 = 1000 + 120x\\120x = 3160 - 1000\\120x = 2160\\\frac{120x}{120} = \frac{2160}{120} \\x = 18$

Joe needs to save for at least 18 months in order to afford the down payment.

Learn more on linear equation here;

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