Given the table for x, lawns mowed and y, money earned:
x-# of lawns 7
6
2
9
y-Seamed
294
252
84
126
378
3
(4 points)
a. Every lawn mowed is
dollars earned
b. Dollars lawn mowed is called a
c. This relationship is
because
tickets sold is $0 earned
5
1142
84
non linear
vanable
proportional
Decreasing
non proportional
unit rate
1
0
a. Every lawn mowed is $42 dollars earned.
b. Dollars lawn mowed is called a unit rate.
c. This relationship is non proportional because the ratio of lawns mowed to money earned is not constant.
a. Every lawn mowed is 42 dollars earned
b. Dollars lawn mowed is called a variable
c. This relationship is proportional because the ratio of the money earned to the number of lawns mowed is constant.
a. To find the dollars earned for each lawn mowed, we need to look at the values in the table for y. The table shows that for every lawn mowed, the corresponding dollars earned are:
For x = 7, y = 294
For x = 6, y = 252
For x = 2, y = 84
For x = 9, y = 126
So, for every lawn mowed, dollars earned are 294, 252, 84, and 126 respectively.
b. The dollars earned for each lawn mowed is called a "unit rate."
c. To determine the relationship between the number of lawns mowed (x) and the dollars earned (y), we need to analyze the data in the table. Looking at the values in the table, we can see that as the number of lawns mowed increases, the dollars earned either increase or decrease. This indicates a non-linear relationship because there is no constant rate of change between the x and y values.
Furthermore, if we observe the y-values and compare them to the x-values, we can conclude that the relationship is not proportional. If it were proportional, the ratio between y and x values would remain constant. However, this is not the case as the ratios change for different x-values.
Hence, the relationship displayed in the table is non-linear, non-proportional, and decreasing.