Mai poured 2.6 liters of water into a partially filled pitcher. The pitcher then contained 10.2 liters a. Which diagram (A, B or represents this situation?

x
A. 2.6| 10.4 10.4
B. x | 2.6 2.6
C. 10.4| x

b. Write an equation that represents this situation.

c. Solve the equation you wrote.

d. Explain what the solution to the equation means in this situation.

a. Diagram B

b. x+2.6=10.4

c. x+2.6=10.4

subtract 2.6 from both sides

x=7.8

d. The solution in the equation represents the amount of water that was in the pitcher prior to Mai poring 2.6 Liters of water in. So there were 7.8 Liters of water in a pitcher, Mai poured 2.6 Liters of water into that same pitchers and the total amount of water in the pitcher was 10.4 Liters.

your answer   is c

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