The total square footage of mini storage units being rented in a city is graphed to forecast future demand. The scatter plot has a trend line y=0.538x+9.02, where x = 0 is the year 2005 and y is the total area rented (in ten thousand square feet) of all mini storage units in the city. If the total area rented continues to increase at the same rate, about how many square feet of mini storage units will be needed by the year 2018?which quadratic equation has solutions x=8 and x=-1

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step-by-step explanation:

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step-by-step explanation:

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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