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During last year's basketball season, Jackson attempted 150 free throws of which he made 120 . So far this season, he's attempted 24 and made 16. 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 freethrow percentage to date? Choose 1 answer: (A) 67% (B) 73% (c) 78% (D) 80%

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 freethrow percentage to date?\newlineChoose 11 answer:\newline(A) 67% 67 \% \newline(B) 73% 73 \% \newline(C) 78% 78 \% \newline(D) 80% 80 \%

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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 freethrow percentage to date?\newlineChoose 11 answer:\newline(A) 67% 67 \% \newline(B) 73% 73 \% \newline(C) 78% 78 \% \newline(D) 80% 80 \%
  1. Calculate Total Free Throws: Calculate the total number of free throws made by Jackson by adding last year's made free throws to this season's made free throws.\newlineLast year: 120120 made\newlineThis season: 1616 made\newlineTotal made = 120+16120 + 16
  2. Calculate Total Attempts: Calculate the total number of free throws attempted by Jackson by adding last year's attempted free throws to this season's attempted free throws.\newlineLast year: 150150 attempted\newlineThis season: 2424 attempted\newlineTotal attempted = 150+24150 + 24
  3. Calculate Free-Throw Percentage: Calculate Jackson's overall free-throw percentage using the formula:\newlineFree-throw percentage = (Total madeTotal attempted)×100%(\frac{\text{Total made}}{\text{Total attempted}}) \times 100\%\newlineFrom Step 11 and Step 22, we have:\newlineTotal made = 136136\newlineTotal attempted = 174174\newlineFree-throw percentage = (136174)×100%(\frac{136}{174}) \times 100\%
  4. Perform Division and Multiplication: Perform the division and multiplication to find the free-throw percentage.\newlineFree-throw percentage = (136/174)×100%(136 / 174) \times 100\%\newlineFree-throw percentage ≈0.7816×100%\approx 0.7816 \times 100\%\newlineFree-throw percentage ≈78.16%\approx 78.16\%
  5. Round Free-Throw Percentage: Round the free-throw percentage to the nearest whole number to match the answer choices.\newlineRounded free-throw percentage ≈78%\approx 78\%

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