A zoo is running a promotion in which every 30th person through the gate receives a free tote bag, and every 80th person receives a free pass. Which person through the gate will be the first to receive both a tote bag and a pass to the zoo?

A) 80th person
B) 120th person
C) 180th person
D) 240th person

Which of the following graphs represents the function f(x) = 2^x

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.

Find the value of x for which the lines are parallel.