Question

question 2 of 5
select the correct answer from each drop - down menu.
dylan earns money mowing lawns. the amount of money, in dollars, he earns varies as the number of lawns he mows. when he mows 6 lawns, he earns $72.
since we can assume that when dylan mows twice as many lawns he will earn as much money, the amount of money, d, dylan earns varies as the number of lawns, n, he mows.
when k is the constant of variation, the equation can be used to determine the amount of money dylan earns when mowing n lawns.

Explanation:

Step1: Find earnings per lawn

$\text{Earnings per lawn} = \frac{\$72}{6} = \$12$

Step2: Analyze proportionality

If lawns double ($6 \times 2 = 12$), earnings = $12 \times 12 = \$144$, which is $2 \times \$72$. So earnings are twice as much.

Step3: Identify variation type

Earnings change by the same factor as lawns, so it is direct variation.

Step4: Write variation equation

Direct variation follows $d = kn$, where $k=12$.

Answer:

1. twice
2. directly
3. $d = 12n$