Question

A printer can print $54,000$ pages in $24$ hours. then the function $f\left(x\right)=2,250x$ represents

• A. The number of pages the printer can print in $x$ days
• B. The number of pages the printer can print in $x$ hours
• C. The number of days it takes the printer to print $x$ pages
• D. The number of hours it takes the printer to print $x$ pages

Answer 1

Answer: (B)

The number of pages the printer can print in $x$ hours

Let the speed of the printer be constant $=v$

Thus $v$ denotes the no. of pages it prints in $1$ hour.

Hence $v=\frac{54000}{24}=2250pages/hr$

Since the speed is constant, the number of pages it can print in $x$ hour will be $vx=x\left(2250\right)$.

Hence, $f\left(x\right)=2250\left(x\right)$ represents a function which denotes the number of pages it can print in $x$ hours.