Which of the following situations cannot be modeled with the equation 5x – 15y = 335?
a.
randy earns $5 for each hour he works at his job, and spends $15 each time he goes out to dinner. he has $335 at the end of the week.
b.
a hamburger sells for $5 but costs $0.15 to make, giving a net income of $3.35.
c.
ruby is paid for the 5 sales she made but docked for the 15 sales she missed for a net income of $335.
d.
tommy earned points for 5 correct answers on a standardized test, but was docked for 15 incorrect answers for a point total of 335.

Which statements regarding the diagram are true? check all that apply.

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.

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.