Maths-

General

Easy

Question

# 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?

Hint:

### Use two – point form

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

### No of pages printed = x

Time taken = y

In the graph given, when x_{1} = 0 , y_{1} = 1

And x_{2} = 10 , y_{2} = 2

Using two – point form, equation of the line is

(y – y_{1}) = m (x – x_{1}) where m =

m =

= = 0.1

Now, equation of the line is (y – y_{1}) = m (x – x_{1})

(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.

Now, equation of the line is (y – y

_{1}) = m (x – x

_{1})

(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.

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