Set up and solve a system of equations to solve the problem. Casey wants to buy a gym membership. One gym has a $200 joining fee and costs $30 per month. Another gym has no joining fee and costs $70 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay? f(t) = + t g(t) = t After months, Casey would have paid $ at either gym. Question 1 of 10

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.