In Katya’s car, the number of miles driven is proportional to the number of gallons of gas used. A. Find the missing value in the table. B. Write an equation that will relate the number of miles driven to the number of gallons of gas. C. How many miles could Katya go if she filled her 22-gallon tank? Show your work. D. If Katya takes a trip of 600 miles, how many gallons of gas would be needed to make the trip? (Round to the nearest hundredth, if necessary.) Show your work.

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.