The following chart shows a store's records of sales of stuffed toys for two months.
september
october
teddy bears
teddy bears
225
275
346
rabbits
308
rabbits
cats
cats
245
186
horses
horses
260
297
199
other
other
285
which of the following are accurate assessments of trends displayed in this graph?
i. the market share held by cats increased by about 6.5 percentage points.
ii. roughly 22.2% more stuffed toys in the "other" category were sold in october than in september.
iii. the total number of stuffed toys sold increased by about 2%.
a. l and ii
b. ii only
c. i and iii
d. i, ii, and iii

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

write out the polynomial, with leading coefficient 1:

y = 1 (x+2)^1 (x-7)^1 (x-5)^2

next time, share the answer choices.   .