1. Given the table for x, lawns mowed and y, money earned:%0D%0A%0D%0Ax - # of lawns%097%096%092%099%093%0D%0Ay - $ earned%09294%09252%0984%09378%09126%0D%0A %0D%0A%0D%0A(4 points)%0D%0APut 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.%0D%0Aa. Every lawn mowed is Response area dollars earned.%0D%0A%0D%0Ab. Dollars/1 lawn mowed is called a Response area %0D%0A%0D%0Ac. This relationship is Response area because Response area tickets sold is $0 earned.%0D%0A%0D%0Anon linear142variableDecreasingproportionalunit rate5084non proportional
a. Every lawn mowed is $84 dollars earned.
b. Dollars/1 lawn mowed is called a unit rate.
c. This relationship is non proportional because 0 tickets sold is $0 earned.
a. Every lawn mowed is 84 dollars earned.
b. Dollars/1 lawn mowed is called a unit rate.
c. This relationship is non-proportional because 0 tickets sold is $0 earned.
To answer the question, we need to analyze the given table and determine the relationship between the number of lawns mowed (x) and the money earned (y).
From the table:
x - # of lawns: 7, 6, 2, 9, 3
y - $ earned: 294, 252, 84, 378, 126
a. To calculate the amount of money earned for each lawn mowed, we divide the total money earned by the total number of lawns mowed.
The total money earned is the sum of the values in the "y" column:
294 + 252 + 84 + 378 + 126 = 1134
The total number of lawns mowed is the sum of the values in the "x" column:
7 + 6 + 2 + 9 + 3 = 27
To find the amount of money earned per lawn mowed, we divide the total money earned by the total number of lawns mowed:
1134 / 27 = 42
Therefore, a. Every lawn mowed is $42 earned.
b. The term "Dollars/1 lawn mowed" refers to the amount of money earned for each individual lawn mowed. In this case, it is $42.
Therefore, b. Dollars/1 lawn mowed is called a unit rate.
c. From the given table, we can see that increasing the number of lawns mowed does not result in a proportional increase in money earned.
For example, when the number of lawns mowed increases from 2 to 9, the money earned increases from 84 to 378. This is a non-linear relationship because the increase in money earned is not constant.
Therefore, c. This relationship is non-proportional.
To summarize:
a. Every lawn mowed is $42 earned.
b. Dollars/1 lawn mowed is called a unit rate.
c. This relationship is non-proportional.