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.
a. Every sweater knitted is 56 dollars earned.
b. Dollars/1 sweater is called a unit rate.
c. This relationship is proportional because 0 sweaters knitted is 0 dollars earned.
a. Every sweater knitted is 56 dollars earned. To calculate this, divide the dollars earned (y) by the number of sweaters knitted (x): 392 / 7 = 56.
b. Dollars/1 sweater is called a "rate" or "earning rate" or "earnings per sweater."
c. This relationship is linear because 0 sweaters knitted is 0 dollars earned.
To answer these questions, we need to analyze the given table.
First, let's organize the data:
x: # of sweaters | 7 6 2 9 3
y: $ earned |392 336 112 504 168
a. To find out how much money is earned for each sweater knitted, we can calculate the ratio of dollars earned (y) to the number of sweaters knitted (x). We can do this by dividing the y-values by the corresponding x-values:
y/x = (392/7) = 56
(336/6) = 56
(112/2) = 56
(504/9) = 56
(168/3) = 56
From the calculations, we can see that every sweater knitted earns $56.
Therefore, the answer to question a. is "Every sweater knitted is 56 dollars earned."
b. The unit for dollars per 1 sweater is called the "dollars per sweater" ratio or "dollars/sweater".
Therefore, the answer to question b. is "Dollars/1 sweater is called a 'dollars per sweater' ratio or 'dollars/sweater'."
c. The relationship between the number of sweaters knitted and the dollars earned can be described as a constant ratio. This is because for each instance, the ratio of dollars earned to the number of sweaters knitted remains constant at 56.
When 0 sweaters are knitted, the amount earned is 0 dollars. This suggests that there is no base amount earned without any sweaters knitted.
Therefore, the answer to question c. is "This relationship is a constant ratio because 0 sweaters knitted is 0 dollars earned."