Question

There are 4quarters in a 1 dollar.The total number of dollars is a function of the number of quarters.Does this situation represent a loner or non linear function ?Explain why

Answer 1

Q = 4 D

This relation is a linear relationship

Explanation:

Given -

There are 4 quarters in a 1 dollar or we say

Constant of proportionality is 4 or
`(1)/(4)`

Q = 4 D

D =
`(Q)/(4)` = f(Q)

This relation is a linear relationship because

(1) It contain two variables D and Q

(2) All the variables power in this equation are 1

(3) If we draw the graph of this equation it gives straight line