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(1)/(4)-(3)/(4)= \\ =(13)/(4)-(3)/(4)=(10)/(4) \\ =(10)/(4)= \\ =2(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(3)/(4)+2(3)/(4)= \\ =(11)/(4)+(11)/(4)= \\ =(22)/(4)= \\ =5(1)/(2)\text{ in} \end{gathered}`