Question

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?

• A. $1.12(1680d+900)$
• B. $1.12\left(1680d\right)+900$
• C. $1.12(1680+900)d$
• D. $(180+0.12d)+900$

Answer 1

Answer: (B)

$1.12\left(1680d\right)+900$

Given 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.

$=1680+\frac{12}{100}1680=\frac{112}{100}1680$

the number of calories rakesh consumed for $d$ days of final

$=\frac{112}{100}1680d$

But during last days of final consuming $900$ calories extra

$=\frac{112}{100}1680d+900$

$\therefore$ Rakesh consumed total calories in d days $=$ $\frac{112}{100}\left(1680d\right)+900$ $=1.12\left(1680d\right)+900$