2 of 62 of 6 Items

Question 1
2. 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


(4 points)
Put 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.
a. Every lawn mowed is Response area dollars earned.

b. Dollars/1 lawn mowed is called a Response area

c. This relationship

1 answer

To answer the questions based on the given data, we first analyze the relationship between the number of lawns mowed and the money earned.

  1. Calculate the earnings per lawn: Let's calculate the money earned for each lawn mowed based on the data provided:

    • For x = 7 lawns: y = 294 → 294 / 7 = $42 per lawn
    • For x = 6 lawns: y = 252 → 252 / 6 = $42 per lawn
    • For x = 2 lawns: y = 84 → 84 / 2 = $42 per lawn
    • For x = 9 lawns: y = 378 → 378 / 9 = $42 per lawn
    • For x = 3 lawns: y = 126 → 126 / 3 = $42 per lawn

    Every calculation shows that the earnings per lawn mowed is consistently $42.

Now, we can answer the question sections:

a. Every lawn mowed is 42 dollars earned.

b. Dollars/1 lawn mowed is called a unit rate.

c. This relationship is a linear relationship (or you could say it's a proportional relationship, as the earnings increase proportionally with each lawn mowed).

So, based on the questions:

  • a. 42
  • b. unit rate
  • c. is a linear relationship (or is a proportional relationship)
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