Question

The graph represents the amount of milk needed for small size milkshakes. If large size milkshakes can hold two small size ones, then the maximum number of large milkshakes that can be made from 2 gallons of milk is ______. (1 gallon = 4.5 liters)

• A. 22
• B. 45
• C. 23
• D. 21

Answer 1

The correct option is A 22


The graph passes through (0.4, 2) and (0.8, 4).
$x_1=0.4,y_1=2;x_2=0.8,y_2=4$
Unit rate $=\frac{\text{Rise}}{\text{Run}}=\frac{y_2-y_1}{x_2-x_1}=\frac{4-2}{0.8-0.4}=\frac{2}{0.4}=5$ milkshakes/liter
Thus, from 1 liter of milk five milkshakes can be made.
1 gallon = 4.5 liters
2 gallons $=2\times 4.5$ liters
Number of milkshakes from 2 gallons of milk $=2\times 4.5\times 5=45$
It is given that the size of the milkshake is doubled.
Therefore, the number of milkshakes from 2 gallons of milk of the new size $=\frac{45}{2}=22.5$
But the number of milkshakes cannot be in decimals.
Thus, the maximum number of milkshakes we can have from 2 gallons of milk is 22.