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During last year's basketball season, Jackson attempted 150150 free throws of which he made 120120. So 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?

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Q. During last year's basketball season, Jackson attempted 150150 free throws of which he made 120120. So 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.\newlineJackson made 120120 free throws last season and has made 1616 so far this season.\newlineTotal free throws made = Free throws made last season + Free throws made this season\newlineTotal free throws made = 120+16120 + 16\newlineTotal free throws made = 136136
  2. Calculate total attempts: Calculate the total number of free throws attempted by Jackson.\newlineJackson attempted 150150 free throws last season and has attempted 2424 so far this season.\newlineTotal free throws attempted = Free throws attempted last season + Free throws attempted this season\newlineTotal free throws attempted = 150+24150 + 24\newlineTotal free throws attempted = 174174
  3. Calculate free-throw percentage: Calculate Jackson's overall free-throw percentage.\newlineFree-throw percentage = (Total free throws made/Total free throws attempted)×100%(\text{Total free throws made} / \text{Total free throws attempted}) \times 100\%\newlineFree-throw percentage = (136/174)×100%(136 / 174) \times 100\%\newlineFree-throw percentage = 0.7816×100%0.7816 \times 100\%\newlineFree-throw percentage = 78.16%78.16\%

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