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
A. every lawn mowed is [Enter answer] dollars earned.
B. Dollars/1 lawn mowed is called a [Enter answer]
C. This relationship is [Enter answer] because [Enter answer] 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 not proportional because for 0 lawns mowed, there is not $0 earned.
A. To find out how much money is earned for each lawn mowed, we can calculate the average by dividing the total money earned by the total number of lawns mowed:
Total money earned = 294 + 252 + 84 + 378 + 126 = 1134
Total number of lawns mowed = 7 + 6 + 2 + 9 + 3 = 27
Average money earned per lawn = Total money earned / Total number of lawns mowed
Average money earned per lawn = 1134 / 27
Average money earned per lawn = 42
Therefore, every lawn mowed is $42 dollars earned.
B. The term for dollars earned per lawn mowed is called the "earnings rate."
C. This relationship is not clearly defined in the given information. Given that the relationship is between the number of lawns mowed (x) and the money earned (y), it seems to suggest that the more lawns are mowed, the more money is earned. However, without additional information, it is difficult to determine the exact nature of this relationship.
To answer the questions, let's analyze the given table:
x - # of lawns: 7, 6, 2, 9, 3
y - $ earned: 294, 252, 84, 378, 126
A. To find the dollars earned for each lawn mowed, we need to calculate the ratio of money earned (y) to the number of lawns mowed (x) for each entry. Let's calculate it for each row:
- For x = 7, y = 294. The dollars earned per lawn mowed is 294 / 7, which equals $42.
- For x = 6, y = 252. The dollars earned per lawn mowed is 252 / 6, which equals $42.
- For x = 2, y = 84. The dollars earned per lawn mowed is 84 / 2, which equals $42.
- For x = 9, y = 378. The dollars earned per lawn mowed is 378 / 9, which equals $42.
- For x = 3, y = 126. The dollars earned per lawn mowed is 126 / 3, which equals $42.
Therefore, the answer A is: every lawn mowed is $42 dollars earned.
B. The dollars earned per one lawn mowed can be referred to as the unit price or rate. It can also be called the "dollar per lawn" rate or simply the "earnings per lawn" rate. So, the answer B is: Dollars/1 lawn mowed is called the earnings per lawn rate.
C. Based on the given data, it seems the relationship between the number of lawns mowed and the money earned is consistent. For zero lawns mowed, the earnings would be zero, which indicates a proportional relationship.
Therefore, the answer C is: This relationship is proportional because zero lawns mowed results in $0 earned.