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.

Consider the diagram. which line segment has the same measure as st? rx tx sr xs

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Complete the solution of the equation. find the value of y when x equals to 6 4x+y=20