Question

Mr. Gaugler started a petting zoo and wanted to track the profit earned. He kept track of the time and profit during the day. The zoo opens at 8:00 AM and closes at 6:00 PM. At his noon lunch break, he totaled his profits to be $260. He stopped by one last time at closing (6:00 PM) to check on his employees who informed him that they had brought in a profit o$960. Assume the profit earned is linear.Write a function that shows profit as a function of time passed since 8:00 AM.

Answer 1

To track the profit earned at Mr. Gaugler's petting zoo, a function can be written to show profit as a function of time passed since 8:00 AM. The function is (960 - 260) / 10 * t + 260, where 't' represents the time passed in hours.

Step-by-step explanation:

To write a function that shows profit as a function of time passed since 8:00 AM, we need to find the profit earned per hour by the petting zoo. We know that the profit at noon is $260 and the profit at closing (6:00 PM) is $960. To find the profit earned per hour, we subtract the profit at noon from the profit at closing and divide it by the number of hours passed, which is 10 hours.

Let's denote the time passed since 8:00 AM as 't'. The profit earned at time 't' can be given by the function:

Profit(t) = (960 - 260) / 10 * t + 260