1. A basketball player made 8 out of 16 free throws she attempted which is 50%. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall successful baskets divided by total attempts or percent of successful free throws to 68%.
(a) Write an rational equation to represent this situation with the variable x as the UNKNOWN number of consecutive attempts needed to raise her average.
(b) Solve the equation for x, show steps algebraically. Solve and show how many consecutive free throws would she have to make to raise her percent to 68%?