Multiple choice

Rakesh consumes an average of $1680$ calories per day.On the day of his finals, Rakesh consumes $12\%$ more calories per day than he usually does. During the last day of finals, he celebrates by consuming an additional $900$ calories. Which of the following represents the total number of calories Rakesh consumes during d days of finals?

  1. $\displaystyle 1.12(1680d+900)$
  2. $\displaystyle 1.12(1680d)+900$
  3. $\displaystyle 1.12(1680+900)d$
  4. $\displaystyle (180+0.12d)+900$
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B Correct answer
Explanation

Rakesh consumes 1680 calories per day. During d days, he consumes 1.12 * 1680 per day. Total for d days is 1.12 * 1680 * d. He adds 900 on the last day, so the total is 1.12 * 1680 * d + 900.

AI explanation

Rakesh's usual calorie intake is 1680 calories per day, and over d days of finals he consumes 12 percent more than this base amount. This means his base intake for the finals period is 1.12 multiplied by 1680d. Since he only adds the extra 900 calories once on the last day, this fixed amount is added to the end of the expression. The correct representation is 1.12(1680d) + 900.

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