Stella wants to build up her emergency fund to $10,000. She has $2,000 now and plans on saving $320 every month. To model the situation,
she creates this equation, where x represents the number of months and y represents the total amount in her emergency fund:
y=2,000 + 320x
Determine the missing steps and justifications in her work.
y - 2,000 = 2,000 + 320x - 2,000
division property of equality
y - 2,000
320
X
10,000 -2,000
- 370
2
5 = x
8,000 - 200
320
= 24 = x
- 320
2,000
=
y-2,000 = 2,000 - 320x - 2,000
multiplication property of equality
Justification
Steps
y = 2,000 + 320x
g
iven
subtraction property of equality
y-2,000 = 320x
simplification
y - 2,000 320x
320320
simplification
substitution and simplification