Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the appropriate increments? (2 points) Reporting periods Sales Jan.–Mar., 2010 $100,000 Apr.–Jun., 2010 $55,000 Jul.–Sep., 2010 $45,000 Oct.–Dec., 2010 $110,000 Jan.–Mar., 2011 $330,000 Apr.–Jun., 2011 $800,000 Jul.–Sep., 2011 $242,000 Oct.–Dec., 2011 $150,000

hm let me think hm think think hm think yes

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