Estimation A group of students go out on a boat to go scuba diving. The instructor takes the group 43.52 feet below the surface to start. Then they go up 29.43 feet and stop to see some fish.
Estimate the total change in distance from where they started at the surface. Find the total change
in distance from where they started at the surface.
Which of the following is the best estimate for the total change in distance from the group of
students' original position at the surface? Round to the nearest ten.

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 b.

step-by-step explanation: