The 30-ft diameter waterwheel at Deleon Springs State Park is an old sugar mill that turns at a rate of 2 rev/min, counterclockwise. Suppose that a coordinate system is chosen with the origin at the bottom of the wheel (at water level). At t = 0, suppose that a point on the wheel is located at (0, 0). 1. Write a function that represents the x position (in feet) of the point as a function of the time t in minutes.
2. Write a function that represents the y position (in feet) of the point as a function of the time t in minutes.
3. Give the coordinates of the point at t = 40 sec and describe the location.

this answer is !

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.