Answer:
The equation that models the relationships between [tex]x[/tex], the number of hours Mark reads, and , [tex]y[/tex] the number of pages of the book he reads is:
[tex]y=56x[/tex]
Step-by-step explanation:
Given:
Mark reads 42 pages every [tex]\frac{3}{4}[/tex] hour.
The number of hours is given by = [tex]x[/tex]
The number of pages is given by =[tex]y[/tex]
The equation can be modeled as:
[tex]y=mx+b[/tex]
where [tex]m[/tex] represents rate of change and [tex]b[/tex] represents the y-intercept or the initial value.
Rate of change =[tex]=\frac{Change\ in\ y}{Change\ in\ x}=\frac{42}{\frac{3}{4}}=42\times \frac{4}{3}=56[/tex]
The initial value [tex]b=0[/tex] as Mark starts reading from 0.
So, the equation is:
[tex]y=56x[/tex]
