Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney’s steps and tom’s steps is also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney’s steps or for Tom’s steps? 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.

Which of the following tables represents exponential functions?

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.