A local clothing store gives a discount of $15 off any purchase of $50 or more in the month of August. This can be represented by the function f(x) = x-15. This same store gives a 15% discount to teachers on the third week of every month. This can be represented by the function g(x) = 0.85x. Reed is a teacher and decides to shop at this store in the third week of August. Select all of the following that could be used to calculate what Reed will pay that day if he spends $50 or more.

maybe i can

answer: 414,377,008

step-by-step explanation:

just multiply it

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt