Part a: create a story or context for this number sentence. (4 points)
part b: rewrite this number sentence using multiplication. (2 points)
part c: give a verbal explanation that describes how these three numbers are related. (4 points)
pls if i fail this i'll have an -f- in math pls i'm new this is my first question pls

essay submission

part a: jim wants to know if 1: 6 can go in to 45 1: 3 what is the quotient that jim is looking for.

part b: 136: 3*6: 1=816: 3 3/816=272

part c: they all relate by making 816: 3 

click to let others know, how is it

step-by-step explanation:

inch

step-by-step explanation:

yard and mile are too big.

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