Question

A city park has a train ride, and the profit earned from the daily train rides depends on the number of passengers, x. The profit each day, P, is represented by the function P(x) = 1.50x - 25. Find the profit when x = 20 and provide the phrase and value that best completes the sentence.

Answer 1

To calculate the profit when there are 20 passengers on the train ride, we use the provided function P(x) = 1.50x - 25. Substituting 20 for x gives us a profit of $5.

Step-by-step explanation:

The student's question involves finding the profit from a daily train ride in a city park, where the profit, P, is a function of the number of passengers, x, and is represented by the function P(x) = 1.50x - 25. To find the profit when x equals 20, we substitute 20 for x in the function and calculate the profit.

Thus, we calculate P(20) = 1.50(20) - 25. This leads to P(20) = 30 - 25, resulting in a profit of $5. Therefore, the phrase and value that best completes the sentence is: 'The profit when x = 20 is $5'.