A researcher weighed pumpkins grown across a certain region. The data are rounded to the nearest pound and displayed in this his
togram.
What does the second bin represent?
Select from the drop-down menu to correctly complete the statement.
Sixteen pumpkins weigh
A. more than 2.4 pounds but less than 4.8 pounds
B. more than 2.4 pounds but no more than 4.8 pounds
C. at least 2.4 pounds but no more than 4.8 pounds
D. at least 2.4 pounds but less than 4.8 pounds
What does the second bin represent?
Select from the drop-down menu to correctly complete the statement.
Sixteen pumpkins weigh
A. more than 2.4 pounds but less than 4.8 pounds
B. more than 2.4 pounds but no more than 4.8 pounds
C. at least 2.4 pounds but no more than 4.8 pounds
D. at least 2.4 pounds but less than 4.8 pounds
2 answers:
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The pattern in the given series of amount in the account are in the form of
arithmetic and geometric progression.
- The function for Option 1 is;
- The function for Option 2 is;
Reasons:
The given table of values is presented as follows;
In Option 1, the amount in dollars for each year has a common difference of d = 100
The first term, a = 1,100
Therefore;
The Option 1 can be represented as an arithmetic progression , A.P. in the
form, tₙ = a + (n - 1)·d as follows;
For the Option 1, we have;
- The amount in dollars after <em>n</em> years,
For Option 2, it is possible to find;
1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1
Therefore;
The terms in the Option 2 have a common ratio of r = 1.1
The Option 2 is a geometric progression, G.P.
The first term in Option 2 is a = 1,100
Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾
Therefor;
- The function for the Option 2 is;
Learn more about arithmetic and geometric progression here: