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 |
1. every lawn mowed is _____ dollars earned
A. 84
B. 1
C. 42
D. 5
E. 0
2. Dollars/1 lawn mowed is called a _____
A. variable
B. unit rate
C. decreasing
2. This relationship is _____ because _____ tickets sold is $0
A. 84
B. 1
C. 42
D. 5
E. 0
F. non proportional
G. proportional
1. To find the dollars earned per lawn mowed, we can divide the money earned by the number of lawns mowed for each data point:
For the first data point: $294 / 7 = 42
For the second data point: $252 / 6 = 42
For the third data point: $84 / 2 = 42
For the fourth data point: $378 / 9 = 42
For the fifth data point: $126 / 3 = 42
Therefore, every lawn mowed is 42 dollars earned.
The answer is C. 42.
2. The term for dollars/1 lawn mowed is a unit rate.
The answer is B. unit rate.
3. To determine if the relationship is proportional or not, we need to check if the ratio of money earned to the number of lawns mowed is the same for all data points.
For the first data point: $294 / 7 = 42
For the second data point: $252 / 6 = 42
For the third data point: $84 / 2 = 42
For the fourth data point: $378 / 9 = 42
For the fifth data point: $126 / 3 = 42
Since the ratio is the same for all data points, the relationship is proportional.
The answer is G. proportional.
how many tickets was sold
The given table does not provide any information about the number of tickets sold. Therefore, we cannot determine the number of tickets sold based on the given data.
so 0?
Yes, based on the given table, the number of tickets sold is not provided. Therefore, we cannot determine the number of tickets sold and it can be assumed to be 0 in this case.
1. To find the answer, we need to calculate the money earned per lawn. We can do this by dividing the money earned (y) by the number of lawns mowed (x).
For the first row with x = 7 and y = 294, the money earned per lawn is 294 / 7 = 42.
For the second row with x = 6 and y = 252, the money earned per lawn is 252 / 6 = 42.
For the third row with x = 2 and y = 84, the money earned per lawn is 84 / 2 = 42.
For the fourth row with x = 9 and y = 378, the money earned per lawn is 378 / 9 = 42.
For the fifth row with x = 3 and y = 126, the money earned per lawn is 126 / 3 = 42.
Therefore, every lawn mowed is 42 dollars earned. Hence, the answer is C. 42.
2. Dollars/1 lawn mowed is called a unit rate.
3. This relationship is proportional because the money earned per lawn (unit rate) is constant at 42 dollars per lawn. It does not matter how many lawns are mowed, the amount earned per lawn remains the same. Hence, the answer is G. proportional.
To answer these questions, let's analyze the given table.
1. To find out how much money is earned for each lawn mowed, we can divide the money earned (y) by the number of lawns mowed (x) for each data point in the table.
For the first data point: $294 / 7 = 42
For the second data point: $252 / 6 = 42
For the third data point: $84 / 2 = 42
For the fourth data point: $378 / 9 = 42
For the fifth data point: $126 / 3 = 42
As we can see, in all cases, the money earned is $42 when one lawn is mowed.
Therefore, the answer to question 1 is C. $42.
2. Dollars/1 lawn mowed is called a unit rate. A unit rate is the value of one quantity (in this case, dollars) divided by one unit of another quantity (in this case, lawns mowed).
Therefore, the answer to question 2 is B. unit rate.
3. For a relationship to be proportional, the ratio between two variables should remain constant. In this case, if we divide the money earned (y) by the number of lawns mowed (x) for each data point, we can check if the ratio remains constant.
For the first data point: $294 / 7 = 42
For the second data point: $252 / 6 = 42
For the third data point: $84 / 2 = 42
For the fourth data point: $378 / 9 = 42
For the fifth data point: $126 / 3 = 42
As we can see, the ratio between money earned and lawns mowed is constant (42) in all cases. Therefore, the relationship is proportional.
Therefore, the answer to question 3 is G. proportional.