Mark reeds 42 pages of a book every 3/4 of an hour write an equation that models the relationship between Z, the number of hours mark reads, NY, the number of pages of the book He reads

The equation that models the relationship between Z and N is N = 56 Z

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ Mark reads 42 pages of a book every of an hour

→ Find his rate per hour by dividing the number of pages by its time

∴ His rate of reading = 42 ÷   = 42 ×   = 56 pages per hour

∵ His rate = 56 pages/hour

∴ m = 56

∵ Z represents the number of hours Mark reads

→ That means replace x in the form of the equation above with Z

∵ N represents the number of pages of the book he reads

→ That means replace y in the form of the equation above with N

∴ N = 56 Z + b

∵ There is no initial amount of reading

∴ b = 0

∴ N = 56 Z

The equation that models the relationship between Z and N is N = 56 Z