Illustrative Mathematics 3.4: Fish Tank Mai is filling her fish tank Water flows into the tank at a constant rate. Complete the table as you answer the questions. time (minutes) water (gallons) 0.5 0.8 1.6 1 4.8 3 40 25. 1. How many gallons of water will be in the fish tank after 3 minutes? Explain your reasoning. 2. How long will it take to fill the tank with 40 gallons of water? Explain your reasoning. 3. What is the proportional relationship represented by this table? 4. What is the constant of proportionality?

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.

1c) the number 131 is a term in the sequence defined by the explicit rule f(n)=5n-4. which term in the sequence is 131? 2a) write the first four terms of the function f(n)=n^2-1 2b) what is the 10th term of the sequence defined by the explicit rule f(n)=n^2-1 2c) the number 224 is a term in the sequence defined by the explicit rule f(n)=n^2-1. which term in the sequence is 224?

What is the value of m in the equation 1/2 m - 3/4n=16 when n=8