Question

$\text{4 gallons of orange juice needs to be}\text{packed into bottles of capacity}\frac{1}{8}\text{gal},\frac{1}{4}\text{gal and}\frac{1}{2}\text{gal,}\text{as given:}$

Capacity (gal)	Number of bottles
$\frac{1}{8}$	$2$
$\frac{1}{4}$	$1$
$\frac{1}{2}$	$7$

$\text{Choose the line plot that represents the}\text{data correctly.}$

• A. $\text{Plot 1; Juice in}\frac{1}{2}\text{gal bottles}=3\text{gal}$
• B. $\text{Plot 2; Juice in}\frac{1}{2}\text{gal bottles}=3\text{gal}$
• C. $\text{Plot 1; Juice in}\frac{1}{2}\text{gal bottles}=\frac{5}{2}\text{gal}$
• D. $\text{Plot 2; Juice in}\frac{1}{2}\text{gal bottles}=\frac{7}{2}\text{gal}$

Answer 1

The correct option is D $\text{Plot 2; Juice in}\frac{1}{2}\text{gal bottles}=\frac{7}{2}\text{gal}$

$\text{Given:}$

$\text{Volume of bottle}$	$\frac{1}{8}\text{gal}$	$\frac{1}{4}\text{gal}$	$\frac{1}{2}\text{gal}$
$\text{Number of bottles used}$	$2$	$1$	$7$

$\text{Plotting this data on a line plot, we get:}$


$\therefore \text{The correct line plot representing}$ $\text{the situation is plot B.}$

$\text{Now, the frequency of}\frac{1}{2}\text{in the line}\text{plot is 7.}$

$\text{Adding}\frac{1}{2}\text{seven times, we get:}$

$\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=\frac{7}{2}$

$⟹\text{The total volume of juice stored}\text{in}\frac{1}{2}\text{gal bottles is}\frac{7}{2}\text{gal.}$