Debbie owns a clothing store that designs t-shirts and shorts. she sells the t-
shirts for $6 each and the shorts for $13 each. she can work 16 hours a day
at most. it takes her 30 minutes to design a t-shirt and 1 hour to design a pair
of shorts. she must design at least 12 items a day, but cannot design more
than 24 items in a day. which of the values below is the maximum revenue
debbie can make with these constraints?

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.

Multiply. write your answer in simplest form. 3/8 x 5/7

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.