Antonio and Henry install carpet. • Antonio charges a flat fee of $112, plus $16 for each hour he works.
• Henry charges a flat fee of $200, plus $12 for each hour he works.
Which function, p(x), represents the total amount of money, in dollars, they earn when they
each work x hours?
A) p(x)=28x+312
B) p(x)=124x+88
C) p(x)=124x+216
D) p(x)=28x+88

d

step-by-step explanation:

sorry i need the points

step-by-step explanation:

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answer: y = -2.5x - 15

              (-6,0)

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