The graph shows the relationship between the number of pages printed by a printer and the warm up time before each printing. What function in the form Y = mx + b represents this relationship?

The correct answer is: y = (0.1)x + 1

No of pages printed = x
Time taken = y
In the graph given, when x₁ = 0 , y₁ = 1
And x₂ = 10 , y₂ = 2
Using two – point form, equation of the line is
(y – y₁) = m (x – x₁)  where  m =

m = 

     =  =  0.1
Now,  equation of the line is (y – y₁) = m (x – x₁)
(y – 1) = 0.1 (x – 0)
y – 1 = 0.1x
y = (0.1)x + 1
A linear function that represents the relationship between the number of pages printed by a printer and the warm up time before each printing is y = (0.1)x + 1.