Question

Stephanie and Nicole make a game of shooting free throws. Each basket is worth 2 ¾ points. Each miss is worth - ½ points. Out 0f 30 free throws, they make 14 baskets. Part A: Stephanie calculated incorrectly that they had a score of 46 ½ points. Explain her likely error. Part B: What is the correct number of points that Stephanie and Nicole scored?

Answer 1

Stephanie's miscalculation was not accounting for negative points from missed free throws. Correctly calculating the score requires adding points for baskets made and subtracting points for baskets missed, resulting in a correct total score of 30.5 points.

Step-by-step explanation:

Part A: Stephanie likely made an error by calculating only the points scored from the baskets made and did not subtract the points lost for the missed free throws. To find the total score, one needs to consider both the positive points from successful shots and the negative points from missed shots.

Part B: The correct score can be calculated by multiplying 14 baskets by 2 ¾ points each and then adding the negative points of the 16 missed shots (since 30 - 14 = 16) multiplied by - ½ point each. The calculation is as follows: (14 baskets * 2 ¾ points per basket) + (16 misses * - ½ point per miss) = 38.5 + (-8) = 30.5 points.