Question

The table shows the amount of rainfall recorded over the first 10 months of a year. Draw a line plot, if needed.Amount of Rainfall (inches)1 3/4, 2 1/2, 3/4, 1 1/4, 2, 1 1/2, 2 3/4, 3 1/4, 1, 2 3/4Part AWhat is the difference between the greatest and least amounts of rainfall in a month?A.1 1/4 inchesB.1 1/2 inchesC.2 1/2 inchesD.2 3/4 inchesPart BIf the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?A.4 1/2 inchesB.4 3/4 inchesC.5 1/4 inchesD.5 1/2 inches

Answer 1

A) From the table, the greatest amount of rainfall is 3 1/4 in, and the least amount of rainfall is 3/4 in. The difference between these values is:

$\begin{gathered} 3\frac{1}{4}-\frac{3}{4}= \\ =\frac{13}{4}-\frac{3}{4}=\frac{10}{4} \\ =\frac{10}{4}= \\ =2\frac{1}{2}\text{ in} \end{gathered}$

B) The most common amount of rainfall is 2 3/4 in. If in the last two months the amount of rainfall is 2 3/4 in, then it will fall:

$\begin{gathered} 2\frac{3}{4}+2\frac{3}{4}= \\ =\frac{11}{4}+\frac{11}{4}= \\ =\frac{22}{4}= \\ =5\frac{1}{2}\text{ in} \end{gathered}$