Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. C.
If y varies directly as x and z, and V =4 when x = 6 and z = 1, find y when x = 7 and 2 - 4
224
7.
y =
3
b.
21
d.
56
2
vez;"(7,4) -

answer: what in the world is this

step-by-step explanation:

do your own work and don"t cheat.

step-by-step explanation:

there is nothing below so i cannot

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