1 Next →
Pretest: Using Linear and Exponential Relationships to Model Problems
Submit Test
Reader Tools
Info
1
Select the correct answer from each drop-down menu.
Robert is purchasing some equipment for his baseball team. He wants to buy some baseballs, each priced at m dollars. He has already spent
b dollars on other equipment.
The following expression represents the total amount Robert will spend after buying x baseballs.
m+
If the amount already spent by Robert on other equipment, b dollars, is doubled, then the value of m will
If the cost of each baseball, m dollars, is tripled, then the value of b will
will
not change
be half of the original amount
Reset
Next
be doubled

two data sets with the same median will not have the same varaibility

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