Given the table for x, lawns mowed and y, money earned:

Question

x - # of lawns | 7 | 6 | 2 | 9 | 3
y - $ earned | 294 | 252 | 84 | 378 | 126
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.
Options: 42, 5, 1, Decreasing, non linear, proportional, 84, 0, variable, non proportional, unit rate

Answer 1

Let's analyze the information provided:

1. Calculating the money earned per lawn mowed.

   • For 7 lawns: \( \frac{294}{7} = 42 \)
   • For 6 lawns: \( \frac{252}{6} = 42 \)
   • For 2 lawns: \( \frac{84}{2} = 42 \)
   • For 9 lawns: \( \frac{378}{9} = 42 \)
   • For 3 lawns: \( \frac{126}{3} = 42 \)

   This shows that every time a lawn is mowed, $42 is earned.

2. Dollars earned per lawn mowed:

   • Since we've established that each lawn mowed earns $42, we can conclude that dollars per 1 lawn mowed are called a unit rate.

3. Type of relationship:

   • Because the relationship is consistent (every lawn mowed earns the same amount), it is indeed proportional. Additionally, we note that if 0 lawns are mowed, $0 is earned.

Here are the filled-in sentences based on the above analysis:

a. Every lawn mowed is 42 dollars earned.
b. Dollars/1 lawn mowed is called a unit rate.
c. This relationship is proportional because 0 tickets sold is $0 earned.