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Question

Question 1
1. 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
(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

To analyze the relationship between the number of sweaters knitted and the money earned, we can start by calculating the earnings per sweater knitted.

a. To find the dollars earned per sweater, we can divide the amount earned (y) by the number of sweaters (x) for each data pair. We can take one example to calculate this:

• For \( x = 7 \) sweaters, \( y = 392 \) dollars:

  \[ \text{Dollars per sweater} = \frac{392}{7} = 56 \]

Thus, every sweater knitted earns 56 dollars.

b. The term for dollars earned for one sweater is called a unit rate.

c. This relationship is linear because when 0 sweaters are knitted, the total earnings ($y$) would be $0, indicating a direct proportionality.