In basketball, the number of points you score is given by 3x+2y+1z where x is threepointers, y is two-pointers, and z is free throws (one-pointers). What is the total number of points scored by a player who makes 3 threepointers, 5 two-pointers, and 6 free throws?
Q. In basketball, the number of points you score is given by 3x+2y+1z where x is threepointers, y is two-pointers, and z is free throws (one-pointers). What is the total number of points scored by a player who makes 3 threepointers, 5 two-pointers, and 6 free throws?
Calculate three-pointers: Calculate the points from three-pointers.The player makes 3 three-pointers, and each three-pointer is worth 3 points.So, the points from three-pointers are 3×3=9 points.
Calculate two-pointers: Calculate the points from two-pointers.The player makes 5 two-pointers, and each two-pointer is worth 2 points.So, the points from two-pointers are 5×2=10 points.
Calculate free throws: Calculate the points from free throws.The player makes 6 free throws, and each free throw is worth 1 point.So, the points from free throws are 6×1=6 points.
Find total points: Add up all the points to find the total.Total points =points from three-pointers+points from two-pointers+points from free throwsTotal points =9+10+6=25 points.