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

x: # of sweaters | 7 | 6 | 2 | 9 | 3
y: $ earned | 392 | 336 | 112 | 504 | 168
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.
Part 1
A. 392
B. 46
C. 56
Part 2
A. variable
B. constant
C. unit rate
Part 3 (part 1)
A. proportional
B. non proportional
Part 3 (part 2)
A. 0
B. 1
C. 8

1 answer

Let's break down the answers to your questions based on the data given:

  1. Every sweater knitted is ________ dollars earned. To find out how much money is earned per sweater, we divide the amount earned by the number of sweaters knitted for any pair. Let's take the first pair as an example:

    • For 7 sweaters: $392 ÷ 7 = $56 per sweater.
    • Checking another pair (e.g., for 6 sweaters: $336 ÷ 6 = $56 as well).

    Therefore, the answer is $56.

    Part 1 Answer: C. 56

  2. Dollars/1 sweater is called a _________. This concept refers to the amount earned per single unit (in this case, per sweater). The term for this is unit rate.

    Part 2 Answer: C. unit rate

  3. This relationship is ______________ because 0 sweaters knitted is _____ dollars earned. Since all the values calculated (money earned per sweater) remain constant ($56), and if you were to knit 0 sweaters, you wouldn't earn any money (0 dollars), then the relationship is proportional.

    Part 3 (part 1) Answer: A. proportional

    For the last part: When 0 sweaters are knitted, the money earned would be $0.

    Part 3 (part 2) Answer: A. 0

Summarizing the answers:

  • a. C. 56
  • b. C. unit rate
  • c. A. proportional, A. 0