A 2-column table with 4 rows. Column 1 is labeled Hours with entries 3, 4, 5, 6. Column 2 is labeled Tally with entries 4, 6, 3, 5. Kerri made a dot plot from the given table:

Hours Spent at Park

A dot plot titled Hours Spent at Park going from 3 to 6. 3 has 5 dots, 4 has 3 dots, 5 has 6 dots, and 6 has 4 dots.

Does Kerri’s dot plot match the data in the tally
table?

Use Kerri’s dot plot to complete the statements.

classmates spent 3 hours at the park.

classmates spent 4 hours at the park.

classmates spent 5 hours at the park.

classmates spent 6 hours at the park.

its totaly b

your welcome btw

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

c

step-by-step explanation: easy math