Rocky has 7 bottles of water. he will buy bottles of water from the store. the store
has 8 cases in stock and each case contains 24 bottles of water. the store will not
sell partial cases. the function that models the number of bottles of water rocky
will have after his purchase is f(c)= 24c + 7. where c is the number of cases
of water he buys.
what is the theoretical domain of the function?

all real numbers

all real numbers from 1 to 8, inclusive

{31, 55, 79, 103, 127, 151, 175, 199}

all integers from 1 to 8, inclusive

In the rectangle below ac=30 units what is de

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 parabolas opens down?