Zoey bought a plant and planted it in a pot near a window in her house. Let H
H represent the height of the plant, in inches,
t
t months since Zoey bought the plant. The table below has select values showing the linear relationship between
t
t and
H
.
H. Determine the initial height of the plant when it was purchased.

2.5

Step-by-step explanation:

Given the relationship between month since plant was bought t and plant height H ;

t

0.5

3

5

H:

17.25

23.5

28.5

Using the online regression calculator, the regression model obtained is :

y = 16x + 2.5

Using this model, we can obtain the height when t = 0 ; this will give the height at the time of purchase of the plant. Therefore, at x = 0

y = 16(0) + 2.5

y = 0 + 2.5

y = 2.5

Hence, height of plant = 2.5

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.