Question

Robert is writing a paper for language arts class. He can write 1/3 of a page in 1/4 of an hour. At what rate is Robert writing? OA. 1 1/3 pages per hour OB. 7/12 of a page per hour C. 12 pages per hour D. 1/12 is of a page per hour

Answer 1

We can write the following equation:

`y=kx`

where y is the number of pages Robert writes, x is the number of hours and k represents the rate.

Since Robert can write 1/3 page in 1/4 hour, we have:

`\begin{gathered} y=(1)/(3) \\ x=(1)/(4) \end{gathered}`

substituting these values on the equation we get

`(1)/(4)k=(1)/(3)`

to solve for k, we can multiply both sides of the equation by 4 to get the following:

`\begin{gathered} 4\cdot((1)/(4)k=(1)/(3)) \\ \Rightarrow(4)/(4)k=(4)/(3)=1(1)/(3) \\ \Rightarrow k=1(1)/(3) \end{gathered}`

therefore, Robert writes 1 1/3 pages per hour