Question

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

Answer 1

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

Explanation:

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

• m is the rate ⇒ slope

• b is the initial amount ⇒ y-intercept

∵ Mark reads 42 pages of a book every
`(3)/(4)` of an hour

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

∴ His rate of reading = 42 ÷
`(3)/(4)` = 42 ×
`(4)/(3)` = 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