The Art Club at Northwest Middle School is selling candy bars as a fundraiser. The box plots below show the number of candy bars the members of the Art Club sold in the first two weeks of the fundraiser. Select all of the following statements that are true about the Art Club’s candy bar sales.
The median number of sales in weeks one and two are equal.

The median number of sales in week one is greater than the median number of sales in week two.

The median number of sales in week two is greater than the median number of sales in week one.

The range of sales in weeks one and two are equal.

The range of sales for week one is greater than the range of sales for week two.

The range of sales for week two is greater than the range of sales for week one.

The median number of sales in weeks one and two are equal and The range of sales to in weeks one and two are equal

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