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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 free-throw 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 free-throw 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 year's made free throws.\newlineLast year: 120120 made\newlineThis year: 1616 made\newlineTotal made = 120+16120 + 16
  2. Perform Calculation: Perform the calculation from Step 11.\newlineTotal made = 120+16=136120 + 16 = 136
  3. Calculate Total Attempts: Calculate the total number of free throws attempted by Jackson by adding last year's attempted free throws to this year's attempted free throws.\newlineLast year: 150150 attempted\newlineThis year: 2424 attempted\newlineTotal attempted = 150+24150 + 24
  4. Perform Calculation: Perform the calculation from Step 33.\newlineTotal attempted = 150+24=174150 + 24 = 174
  5. Calculate Free-Throw Percentage: Calculate Jackson's overall free-throw percentage by dividing the total number of free throws made by the total number of free throws attempted and then multiplying by 100100 to get the percentage.\newlineFree-throw percentage = Total madeTotal attempted×100\frac{\text{Total made}}{\text{Total attempted}} \times 100
  6. Perform Calculation: Perform the calculation from Step 55.\newlineFree-throw percentage = (136/174)×100(136 / 174) \times 100
  7. Perform Division and Multiplication: Perform the division and multiplication to find the free-throw percentage.\newlineFree-throw percentage ≈(0.7816)×100\approx (0.7816) \times 100
  8. Perform Calculation: Perform the calculation from Step 77.\newlineFree-throw percentage ≈78.16%\approx 78.16\%

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