On tax free weekend, Alyssa bought 3 pairs of blue jeans for $92.31. The cost of the jeans is proportional to the number of pairs of jeans bought. What is the constant of proportionality in terms of dollars per pair of jeans?

constant of proportionality is 30.77 dollars per pair of jeans

Step-by-step explanation:

On tax free weekend, Alyssa bought 3 pairs of blue jeans for $92.31. The cost of the jeans is proportional to the number of pairs of jeans bought

Let c be the cost and 'n' be the number of jeans

cost 'c' is proportional to the number of jeans 'n'

where 'k' is the constant of proportionality

we need to find out k when c= 92.31  and n= 3

divide both sides by 3

k=30.77

so constant of proportionality is 30.77 dollars per pair of jeans

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.