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 twice as much money, the amount of money, d, dylan earns varies directly 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 constant of variation

First, calculate the constant $k$ using the given values: when $n=6$, $d=72$. The direct variation formula is $d=kn$, so solve for $k$.
$\displaystyle k=\frac{d}{n}=\frac{72}{6}=12$

Step2: Form the variation equation

Substitute the calculated $k$ into the direct variation form.
$d=12n$

Answer:

$d=12n$