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%0A5non linear1variablenon proportionalunit rate84420Decreasingproportional
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 the number of lawns mowed and the money earned are not directly proportional.
a. Every lawn mowed is $84 earned.
b. Dollars/1 lawn mowed is called a unit rate.
c. This relationship is non-proportional because the number of lawns mowed is not directly related to the money earned.
To answer this question, we need to analyze the given table:
x - # of lawns: 7, 6, 2, 9, 3
y - $ earned: 294, 252, 84, 378, 126
a. Every lawn mowed is ___ dollars earned.
To find the answer to this part, we can divide the total dollars earned (y) by the total number of lawns mowed (x) and get the average earnings per lawn mowed.
First, let's add up the total dollars earned: 294 + 252 + 84 + 378 + 126 = 1134
Now, let's add up the total number of lawns mowed: 7 + 6 + 2 + 9 + 3 = 27
Dividing the total dollars earned by the total number of lawns mowed: 1134 / 27 = 42
So, every lawn mowed is 42 dollars earned.
b. Dollars/1 lawn mowed is called a ___.
To answer this part, we need to understand that "Dollars/1 lawn mowed" is the ratio of dollars earned to the number of lawns mowed. This ratio is known as the unit rate.
In this case, the unit rate is 42 dollars earned per 1 lawn mowed.
Therefore, Dollars/1 lawn mowed is called a unit rate.
c. This relationship is ___ because ___.
To determine the nature of the relationship between the number of lawns mowed and the dollars earned, we need to analyze the data.
From the given table, it seems that as the number of lawns mowed increases, the dollars earned also increase.
However, to verify if this relationship is proportional, we need to check if the unit rate (Dollars/lawn mowed) is the same for all values in the table.
Let's calculate the unit rate for each data point:
- For the first data point: 294 dollars earned / 7 lawns mowed = 42 dollars/lawn mowed
- For the second data point: 252 dollars earned / 6 lawns mowed = 42 dollars/lawn mowed
- For the third data point: 84 dollars earned / 2 lawns mowed = 42 dollars/lawn mowed
- For the fourth data point: 378 dollars earned / 9 lawns mowed = 42 dollars/lawn mowed
- For the fifth data point: 126 dollars earned / 3 lawns mowed = 42 dollars/lawn mowed
Since the unit rate (42 dollars/lawn mowed) is the same for all values in the table, the relationship between the number of lawns mowed and the dollars earned is considered to be proportional.
Therefore, the relationship is proportional because the unit rate (Dollars/1 lawn mowed) is the same for all values in the table.