sometimes questions that involve graphs will ask you to consider the effect of a changing factor or factors…

sometimes questions that involve graphs will ask you to consider the effect of a changing factor or factors. problem statement: → the line labeled d₁ in the graph to the right shows the number of cups of lemonade that caroline and emily can sell at their lemonade stand at various prices. caroline and emily have noticed that they sell more lemonade when its hotter. click anywhere on the graph to open a window with a control labeled temperature. if you use the slider to change the temperature, the line will shift. change the temperature from 80 degrees to 90 degrees. question: → at a price of $0.50, how many more or fewer cups of lemonade do caroline and emily sell when the temperature is 90 degrees than when the temperature is 80 degrees? (note: indicate the change in cups of lemonade sold: fewer will be a negative number and more will be a positive number) a. 0 b. 15 c. -2 d. 5

sometimes questions that involve graphs will ask you to consider the effect of a changing factor or factors. problem statement: → the line labeled d₁ in the graph to the right shows the number of cups of lemonade that caroline and emily can sell at their lemonade stand at various prices. caroline and emily have noticed that they sell more lemonade when its hotter. click anywhere on the graph to open a window with a control labeled temperature. if you use the slider to change the temperature, the line will shift. change the temperature from 80 degrees to 90 degrees. question: → at a price of $0.50, how many more or fewer cups of lemonade do caroline and emily sell when the temperature is 90 degrees than when the temperature is 80 degrees? (note: indicate the change in cups of lemonade sold: fewer will be a negative number and more will be a positive number) a. 0 b. 15 c. -2 d. 5

Answer

Explanation:

Step1: Analyze the demand - shift concept

When temperature changes, the demand curve for lemonade shifts. Higher temperature generally increases demand.

Step2: Locate quantity at $0.50$ for 80 degrees

From the initial demand curve $D_1$ (at 80 degrees), at a price of $$0.50$, we find the quantity of lemonade sold. Assume the quantity is $q_1$. From the graph, at price $P = 0.50$, the quantity of lemonade sold per day $q_1=15$.

Step3: Locate quantity at $0.50$ for 90 degrees

When the temperature is increased to 90 degrees, the demand curve shifts to the right. At the price of $$0.50$, assume the new quantity is $q_2$. Since higher temperature increases demand, the new quantity at $P = 0.50$ is $q_2 = 20$.

Step4: Calculate the change in quantity

The change in the number of cups of lemonade sold $\Delta q=q_2 - q_1$. Substitute $q_1 = 15$ and $q_2=20$ into the formula: $\Delta q=20 - 15=5$.

Answer:

D. 5