Question

The table shows how much money a grocery store receives for selling different amounts of asparagus.ASPARAGUS SALESNUMBER OF POUNDSTOTAL SALES4 lb=$106 lb=$158 lb=$2010 lb=?12 lb=?If the unit rate is constant what are the total sales for 12 pounds of asparagus.A. $32.50B. $25.00C. $22.50

Answer 1

Since the unit rate is constant we can calculate it with the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

using the first two rows of the table we have

$\begin{gathered} m=\frac{15-10}{6-4} \\ =\frac{5}{2} \\ =2.5 \end{gathered}$

this means the we pay $2.5 per pound of asparagus.

To find out how much will it cost to buy 12 pound we have to make the multiplication of the unit rate by 12.

$2.5\times12=30$

Therefore, the sales for 12 pounds of asparagus are $30.