To figure out this question, I first divided 24 into 3, which gives me an answer of 8. then I divided 52 into 7 , which also is 8 . because the two numbers are the same, I know the ratios are equivalent.
The sale price S (in dollars) of an item is given by the formula
S=L−rL , where L is the list price (in dollars) and r is the discount rate.
Since, S = L -rL
rL = L -S
r = 
r = 
Since, the listed price of the shirt is $30, we have to find the discount rate.
Therefore, r =
is the discount rate.
If there is some scalar function

such that

then we want to find

such that



So the vector field

is conservative, which means the fundamental theorem applies; the line integral of

along any path

parameterized by some vector-valued function

over

is given by

In this case,