To analyze the relationship between the number of sweaters knitted (x) and the money earned (y), we can calculate the amount earned per sweater by finding the ratio of y to x for each data point.
First, let’s calculate how much money is earned for each sweater knitted:
- For 7 sweaters: 392 / 7 = $56 per sweater
- For 6 sweaters: 336 / 6 = $56 per sweater
- For 2 sweaters: 112 / 2 = $56 per sweater
- For 9 sweaters: 504 / 9 = $56 per sweater
- For 3 sweaters: 168 / 3 = $56 per sweater
a. Every sweater knitted is $56 earned.
b. Dollars/1 sweater is called a rate (or unit rate).
c. This relationship is linear because 0 sweaters knitted is $0 earned.
Thus, the complete answers would be:
a. Every sweater knitted is $56 earned.
b. Dollars/1 sweater is called a rate.
c. This relationship is linear because 0 sweaters knitted is $0 earned.