1. Given the table for x, sweater knitted, and y, money earned:

Question

x: # of sweaters

y: $ earned

7

392

6

2

9

3

168

336

112

504

(4 points)

a. Every sweater knitted is

dollars earned

b. Dollars/1 sweater is called a

c. This relationship is

because 0 sweaters knitted is

dollars earned

Answer 1

a. Every sweater knitted is 56 dollars earned
b. Dollars/1 sweater is called a unit rate
c. This relationship is proportional because the ratio of dollars earned to sweaters knitted is consistent.
0 sweaters knitted is 0 dollars earned.

Answer 2

a. The constant of proportionality is

b. Write an equation that represents this graph

c. This is a proportional relationship because the y-intercept is

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Answer 3

a. The constant of proportionality is 56, since the ratio of dollars earned to sweaters knitted is consistently 56.

b. The equation that represents this graph is y = 56x, where y represents the dollars earned and x represents the number of sweaters knitted.

c. This is a proportional relationship because the y-intercept is 0.