Final answer:
Marissa's equation to find the average number of free throws she needs to shoot over the next five days, factoring in the additional 245 free throws and her goal of shooting 50% more free throws than 3-pointers, is represented by the equation 245 + 5f = 5*1.5p, which needs to be solved for f.
Step-by-step explanation:
To write an equation that represents how many free throws (f) Marissa has to average over the next five days given that she wants to shoot 50% more free throws than 3-pointers and she has already shot 245 free throws, we first need to define the variables. Let's define 'p' as the number of 3-pointers. According to Marissa's goal, the number of free throws she wants to shoot is 1.5 times the number of 3-pointers. The equation would then be f = 1.5p.
Since Marissa has already shot 245 free throws, we need to account for those in our calculations for the average. Assuming she continues to practice for 5 more days, we divide the total number of free throws, including the 245 she has already made by 5 days to find the average. If we let 'T' represent the total number of free throws after 5 days, including the ones already made, the equation becomes T/5 = f, where T = 245 + 5f (since she will shoot f free throws each of the next 5 days).
Combining these equations, we get 245 + 5f = 5 * 1.5p, which is the equation we would solve to find out how many free throws Marissa needs to average over the next five days.