To analyze the relationship between the number of sweaters knitted (x) and the money earned (y), we can derive answers for each of the points provided:
a. Every sweater knitted is ____ dollars earned.
To find the dollar value earned per sweater, we can examine the provided data.
Calculating the earnings per sweater:
- 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
Thus, the answer is: Every sweater knitted is 56 dollars earned.
b. Dollars/1 sweater is called a ____.
The term for the number of dollars earned per sweater is called a unit rate. You might also refer to it as the price per sweater or unit price.
So, the answer is: Dollars/1 sweater is called a unit rate.
c. This relationship is ____ because 0 sweaters knitted is ____ dollars earned.
Let's analyze the data further. If we set out to identify the relationship, we can notice the following:
- When x = 0 (no sweaters knitted), based on the relationship, y would also be 0 (i.e., if you do not knit any sweaters, you earn $0).
Thus, the answer is: This relationship is linear because 0 sweaters knitted is 0 dollars earned.