Question

Mark reads 42 pages of a book every 3/4 hour. Write an equation that models the relationships between x, the number of hours Mark reads, and , y the number of pages of the book he reads.

Answer 1

The equation that models the relationships between
`x`, the number of hours Mark reads, and ,
`y` the number of pages of the book he reads is:

`y=56x`

Explanation:

Given:

Mark reads 42 pages every
`(3)/(4)` hour.

The number of hours is given by =
`x`

The number of pages is given by =
`y`

The equation can be modeled as:

`y=mx+b`

where
`m` represents rate of change and
`b` represents the y-intercept or the initial value.

Rate of change =
`=(Change\ in\ y)/(Change\ in\ x)=(42)/((3)/(4))=42* (4)/(3)=56`

The initial value
`b=0` as Mark starts reading from 0.

So, the equation is:

`y=56x`