Question

How do I solve for letter D for this question here?

Answer 1

D)

well, we know 5 ⩽ x ⩽ 20, and we also know the Revenue equation is m(n) = 15n, so the range of values will be from m(5) to m(20), or namely from 75 to 300.

E)

what number is between 75 and 300 and is not part of the range? ohhh let's see say $217.39, that's just one, in essence there is an infinite amount we can draw out from that range, but let's use that, why is not part of the range?

well, recall, the price per person is $15 a pop, let's see how many folks we can get for a Revenue of 217.39.

`m(n)=15n\implies \stackrel{m(n)}{217.39}=15n\implies \cfrac{217.39}{15}=n\implies 14.49\approx n`

so the only way for us to have a Revenue or namely a value for m(n) = 217.39 is by getting 14.49 people, so 14 folks and then we cut one in half? not quite, so we can't do that, I guess we could, but is not what the tour is offering.

In essence, we can't because the range contains Discreet Data, it only moves in jumps of $15.