Marissa created a graph to show her hair growth since her last haircut.
Marissa's Hair Growth
6.5
6
5.5
X
5
4.5
4
3.5
83
2.5
Inches of Growth
2
1.5
0.5
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Months Since Haircut
Which table represents the same relationship?

if x decreases by 4 then y increases by 10

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.

the answer is d

step-by-step explanation: