Question

I am having trouble solving this question. please give me a detailed and elaborate answer and also please attach the plotted graph for my reference.

Thank you very much,

Answer 1

$ 2000

Explanation:

Find the equation. You find the gradient by using the gradient formula (rise/run)

that would be

1600 - 800 over 40 - 20

800/20

m (gradient) = 40

Hence 40x ...

Answer 2

See below

Explanation:

Refer to attached

Using two of the points to determine the function:

• (20, 800), (40, 1600)

Function is:

• y = mx + b

Finding m and b:

• m = (1600 - 800)/(40-20) = 800/20 = 40
• 800 = 40*20 + b
• b = 0

So the function is:

• y = 40x

For x = 50, we get

• y = 40*50 = 2000

50 l diesel costs $2000