Katie makes 70% of her shots from the free-throw line. can you determine how many consecutive free-throws she must make in order to increase her percentage to 75%? explain

To make 70% she has completed 7 out 10 shots.  For her to get 75% she would need 3 out of 4 shots each time

7 out of 10, if the next shot was successful that would be 8 out of 11 and the next shot would be 9 out of 12

9 out of 12 = 9/12 = 3/4 = 75% so the answer is two successful shots.