Question

each small square in the grid for this graph has one side equal to 1 pound of screws and one side equal to 1 dollar per pound. the area of one small square is therefore ___.
there are ___ small squares in the purple - shaded rectangle.
on this graph, the area of the purple rectangle corresponds to:
king hardware’s revenue from selling screws, measured in dollars
the price of the screws, measured in dollars per pound
the number of screws that king hardware sold, measured in pounds
none of these—the area has no meaning
now suppose king hardware raises its price to $6.00 per pound of screws. as a result, it now sells 5 pounds of screws.
use the blue rectangle to draw the area that corresponds to the new price and quantity.
did raising the price of screws increase king hardware’s revenue?
yes
no

Explanation:

Step1: Calculate area of small square

The area of a square is side - length times side - length. Given one side is 1 pound and the other is 1 dollar per pound, so the area of one small square is $1\times1 = 1$ dollar.

Step2: Analyze meaning of purple - shaded rectangle area

Revenue = Price per unit $\times$ Quantity sold. The area of the rectangle in the graph (with one side as price per pound and the other as pounds) represents revenue. So the area of the purple rectangle corresponds to King Hardware's revenue from selling screws, measured in dollars.

Step3: Calculate new revenue

The new price is $p = 6$ dollars per pound and the new quantity is $q = 5$ pounds. The new revenue $R=p\times q=6\times5 = 30$ dollars.

Answer:

The area of one small square is 1 dollar.
(No value given for number of small squares in purple - shaded rectangle in the problem statement, but we know its meaning).
The area of the purple rectangle corresponds to: King Hardware’s revenue from selling screws, measured in dollars.
For the price - increase part, new revenue is 30 dollars. Without knowing the previous revenue, we can't answer the "Did raising the price increase revenue?" part completely. But if we assume we need to just state the new revenue calculation, we have shown it above.