A new doughnut shop lost $624 during its first 13 days of business. If it lost the same amount of money each day, what was the loss each day? Which choice shows the correct quotient and answer?

A. (−624)÷13=−48; The doughnut shop lost $48 each day.

B. (−624)÷13=48; The doughnut shop made a profit of $48 each day.

C . (−624)÷13=−611; The doughnut shop lost $611 each day.

D (−624)÷13=8,112; The doughnut shop made a profit of $8,112 each day.

answer: the first graph

step-by-step explanation:

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

step-by-step explanation:

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