In this unit, you solved two-step equations. A two-step equation is an equation of the form px + q = r. It takes two steps to solve for the variable x. For example, 3x + (-5) = 19 is a two-step equation. How could you transform this particular equation to create a three-step equation? List several ways you could transform it using common math operations. Next, try solving one of the three-step equations you created for x. (Use a guess and check strategy, if necessary.) What additional step was required to find the solution? In your opinion, is solving a three-step equation more difficult than solving a two-step equation? Why or why not? Do you think there is a limit to the number of steps it takes to solve an equation? Explain

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.