Enter the correct answer in the box. Write your answer in the form at + bm=c
Denise needs to move some bags of gardening soil from her garage to her mother's garden. The topsoil weighs 30 pounds per bag and the
mulch weighs 30 pounds per bag. The wagon she is using carries a maximum of 330 pounds.
The table shows the first three loads of topsoil and mulch she has carried in the wagon.
Topsoil,
(pounds)
Mulch, m
(pounds)
Write a linear inequality to describe the bags of topsoil and mulch the wagon can carry at one time.
10
sin costancin-1
-1

i believe the answer is letter c) 8

step-by-step explanation:

asdsaddsa

step-by-step explanation:

sorry

step-by-step explanation:

sorry, but im pretty sure its a now that i look at 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