Question

Think back to the scenario described at the beginning of this activity. Suppose you own a business and over time have determined functions that describe certain relationships. The function U(x)= 1/8^x relates the number of labor hours,x , to the number of units produced in a week. The function R(y) = 1275y relates the number of units produced, y , to weekly revenue. Part A Write a function that relates weekly labor hours to weekly revenue.

Answer 1

To relate weekly labor hours to weekly revenue, you can use the function W(x) = (1/8^x) * 1275y, which considers the relationships between labor hours, units produced, and revenue.

Step-by-step explanation:

To relate weekly labor hours to weekly revenue, we can multiply the number of labor hours, x, by the revenue per unit produced, R(y). The function that relates weekly labor hours to weekly revenue can be written as:

W(x) = U(x) * R(y) = (1/8^x) * 1275y

This function takes into account both the relationship between labor hours and units produced (U(x) = 1/8^x) and the relationship between units produced and revenue (R(y) = 1275y).