Question

This graph shows the cost of buying dried fruit.

What is the slope of the line and what does it mean in this situation?

Select from the drop-down menus to correctly complete each statement.

The slope of the line is ____. This means that every of dried fruit costs $____.

Answer 1

the correct answer is =

The slope of the line is 3.5

This means that every pound

of dried fruit cost $3.50

Answer 2

   Slope of the line is 3.5. This means that every of dried fruit costs $3.5 per lb.

   From the graph attached,

Points shown on the graph are (4, 14) and (8, 28).

Since, slope of a line passing two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of the line passing through (4, 14) and (8, 28) will be,

Slope = $\frac{28-14}{8-4}$

          = $\frac{14}{4}$

          = 3.5

This means that every of dried fruit costs $3.5 per lb.

       Therefore, slope of the line is 3.5. This means that every of dried fruit costs $3.5 per lb.

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