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
e
x
10,000 - 2,000
25
x
8,000 - 200
320
= 24 = x
- 320
2,000
EX
y - 2,000 = 2,000 - 320x - 2,000
multiplication property of equality
Steps
Justification
y = 2,000 + 320x
given
subtraction property of equality
simplification
y-2,000 = 320x
y-2.000 320x
320 320
simplification
substitution and simplification

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.