Question

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



Put responses in the correct input to answer the question.

a. Every lawn mowed is [_] dollars earned.

b. Dollars/1 lawn mowed is called a [_]

c. This relationship is [_] because [_] tickets sold is $0 earned.

Answer 1

for linear, do you mean proportional?

Answer 2

To answer the questions based on the given data, let's analyze the relationship between the number of lawns mowed (x) and the money earned (y).

First, we can determine how much money is earned per lawn mowed by dividing the total money earned by the number of lawns mowed in each case:

1. For 7 lawns: \( \frac{294}{7} = 42 \) dollars/lawn
2. For 6 lawns: \( \frac{252}{6} = 42 \) dollars/lawn
3. For 2 lawns: \( \frac{84}{2} = 42 \) dollars/lawn
4. For 9 lawns: \( \frac{378}{9} = 42 \) dollars/lawn
5. For 3 lawns: \( \frac{126}{3} = 42 \) dollars/lawn

From the calculations, we can see that every lawn mowed earns consistently $42.

Now let’s fill in the responses:

a. Every lawn mowed is **42** dollars earned.

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

c. This relationship is **linear** because **0 tickets sold is $0 earned**.

The answers are put in the correct input as requested.

Answer 3

Yes, you are correct. The relationship described between the number of lawns mowed (x) and the money earned (y) is indeed **proportional**. In a proportional relationship, as the number of lawns mowed increases, the money earned increases at a constant rate, and when no lawns are mowed (0 lawns), no money is earned (0 dollars).

So to adjust the response correctly:

c. This relationship is **proportional** because **0 lawns mowed is $0 earned**.

Thank you for pointing out the clarification!