MP.4 Model with Math
Aaron wraps presents in a
store. In one hour, he wraps
ames and one console. How
much wrapping paper
does Aaron use? Use
Exercises 1-3 to answer
the question.
1. Draw bar diagrams and write
equations to represent
the problem. Gaming console takes 4.1/3 feet of wrapping paper
Game takes 1.2/3 feet
of wrapping paper
2. What previously learned
math can you use to solve the
problem?
3. How much wrapping paper
does Aaron use? Explain.

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 correct answer is c) 2.