Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

During last year's basketball season, Jackson attempted 150150 free throws of which he made 120120. far this season, he's attempted 2424 and made 1616. A player's free-throw percentage is defined to be the percent of free-throws made out of the number of free-throws attempted. Assuming calculations began with the start of last year's season, which of the following best approximates Jackson's overall free-throw percentage to date?

Full solution

Q. During last year's basketball season, Jackson attempted 150150 free throws of which he made 120120. far this season, he's attempted 2424 and made 1616. A player's free-throw percentage is defined to be the percent of free-throws made out of the number of free-throws attempted. Assuming calculations began with the start of last year's season, which of the following best approximates Jackson's overall free-throw percentage to date?
  1. Calculate Total Free Throws: Calculate the total number of free throws made by Jackson combining last year's and this season's performance.\newlineLast year: 120120 made\newlineThis season: 1616 made\newlineTotal made = 120+16120 + 16
  2. Perform Total Made Calculation: Perform the calculation for the total number of free throws made.\newlineTotal made = 120+16=136120 + 16 = 136
  3. Calculate Total Attempts: Calculate the total number of free throws attempted by Jackson combining last year's and this season's performance.\newlineLast year: 150150 attempted\newlineThis season: 2424 attempted\newlineTotal attempted = 150+24150 + 24
  4. Perform Attempts Calculation: Perform the calculation for the total number of free throws attempted.\newlineTotal attempted = 150+24=174150 + 24 = 174
  5. Calculate Free-Throw Percentage: Calculate Jackson's overall free-throw percentage. Free-throw percentage = (Total made/Total attempted)×100%(\text{Total made} / \text{Total attempted}) \times 100\%
  6. Perform Percentage Calculation: Perform the calculation for Jackson's overall free-throw percentage.\newlineFree-throw percentage = (136/174)×100%(136 / 174) \times 100\%
  7. Perform Percentage Calculation: Perform the calculation for Jackson's overall free-throw percentage.\newlineFree-throw percentage = (136/174)×100%(136 / 174) \times 100\%Complete the calculation for the percentage.\newlineFree-throw percentage 78.16%\approx 78.16\% (rounded to two decimal places)