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Answer:

Brand A ($2) is more expensive than Brand B ($1.50)  (see below)

Step-by-step explanation:

First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.

Using the slope formula:

          y2 — y1

m  =   ---------------

           x2 — x1

Plug in any two points from both lines:

          y2 — y1

m  =   ---------------  = graph 1 (0, 0), (1,2)

           x2 — x1

            2 — 0

m  =   ---------------

             1 — 0

                2

m  =   ---------------  = $2/m

                1

_______graph 2_______

          y2 — y1

m  =   ---------------  = graph 2 (0, 0), (4, 6)

           x2 — x1

            6 — 0

m  =   ---------------

            4 — 0

                6                  3

m  =   ---------------  = -----------  = $3/2 m

                4                  2

Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:

$3  =  $x

2m =  1m

Cross multiply:

3 (1) = 2x

3 = 2x

x = (3 ÷ 2)

x = 1.5

So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.

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