Question

The function below shows the revenue for t-shirt sales. For every $1 decrease in price, 5 more t-shirts can be sold.

Part A: What is the maximum of this graph and what does the maximum represent?

Part B: What is the y-intercept of the graph? what does it represent?

Part C: Does the graph have zerosolution(s)? If so, identify the zero and what it represents?

Answer 1

Part A: The maximum of the graph is the highest point which is at (2.5, 2531.25). Since xx is the decrease in price and yy is the profit, the maximum of (2.5, 2531.25) means that the maximum profit is $2531.25 and occurs when the price of the t-shirts is decreased by $2.50.

Part B: The yy-intercept is when the graph intersects the yy-axis which occurs at about (0, 2500). The yy-intercept then means that the profit is $2500 if the price of the t-shirts does not decrease.

Part C: The solution of a graph is its xx-intercept(s). The graph crosses the xx-axis at (25,0) so this point is the solution. The solution means that the profit will be $0 if the price is decreased by $25.

Explanation: