Ms. Morris asked her students to each pick one or more of the following 4 numbers, all powers of 3:1,3,9,27and write the sum of the chosen numbers on a piece of paper. Students must not talk to each other about their choices. She then collected all papers, and wrote them down on the whiteboard, but no number would be written more than once. The class “won” the game if there were N numbers written down, where N was the greatest possible such numbers. What was the valueof N that Ms. Morris had in mind?

A

Step-by-step explanation:

all you have to do is answe

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.