1. Given the table for x, lawns mowed and y, money earned:
x - # of lawns 7 6 2 9 3
y - $ earned 294 252 84 378 126
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. Every lawn mowed is Response area dollars earned.
b. Dollars/1 lawn mowed is called a Response area
c. This relationship is Response area because Response area tickets sold is $0 earned.
responses
unit rate,5,42,proportional,0,84,variable,non linear,1,non proportional,decreasing
a. Every lawn mowed is 42 dollars earned.
b. Dollars/1 lawn mowed is called a unit rate.
c. This relationship is proportional because 0 tickets sold is $0 earned.
a. Every lawn mowed is 42 dollars earned.
b. Dollars/1 lawn mowed is called a unit rate.
c. This relationship is proportional because every lawn mowed corresponds to a certain amount of money earned.
To answer the question:
a. Every lawn mowed is [Response area] dollars earned.
To find the dollars earned per lawn mowed, we need to divide the money earned (y) by the number of lawns mowed (x) for each data point. Let's calculate it for each data point:
- For the first data point: 294 dollars / 7 lawns = 42 dollars per lawn.
- For the second data point: 252 dollars / 6 lawns = 42 dollars per lawn.
- For the third data point: 84 dollars / 2 lawns = 42 dollars per lawn.
- For the fourth data point: 378 dollars / 9 lawns = 42 dollars per lawn.
- For the fifth data point: 126 dollars / 3 lawns = 42 dollars per lawn.
Therefore, the correct response is: every lawn mowed is [42] dollars earned.
b. Dollars/1 lawn mowed is called a [Response area].
When expressing the rate of dollars earned per lawn mowed, we use the term "unit rate." The unit rate represents the amount of a given quantity (in this case, dollars) per one unit of another quantity (in this case, lawns mowed). So, the correct response is: Dollars/1 lawn mowed is called a [unit rate].
c. This relationship is [Response area] because [Response area] tickets sold is $0 earned.
To determine the type of relationship between the number of lawns mowed (x) and the money earned (y), we need to analyze the data points.
In this case, since the dollars earned per lawn mowed is constant (42 dollars), regardless of the number of lawns mowed, we can conclude that the relationship is proportional.
Therefore, the correct response is: This relationship is [proportional] because [0] tickets sold is $0 earned.