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

Answer:

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:

$y=56x$

Step-by-step explanation:

Given:

Mark reads 42 pages every $\frac{3}{4}$ 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 =$=\frac{Change\ in\ y}{Change\ in\ x}=\frac{42}{\frac{3}{4}}=42\times \frac{4}{3}=56$

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

So, the equation is:

$y=56x$