Ahmad will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $35.98 and costs an additional $0.20 per mile driven. the second plan has an initial fee of $49.98 and costs an additional $0.15 per mile driven. how many miles would ahmad need to drive for the two plans to cost the same?

Pj is decorating pupcakes for rocky's birthday party. her color scheme is black, purple, and green. she will use this spinner to determine the color of sprinkles on each pupcake. which model shows the probability of randomly landing on each color?

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 data set has a greater spread? why? set a: {38, 12, 23, 48, 55, 16, 18} set b: {44, 13, 24, 12, 56} has a greater spread because .