Question

the table below shows the salvage value for raw steel.

tons of steel	0	2	4	6	8	10

based on the information in the table, what is the price per ton for raw steel?

a. $230
b. $220
c. $210
d. $264

Explanation:

Step1: Identify the relationship

The salvage value and tons of steel seem to have a linear relationship (since the increase in salvage value is consistent with increase in tons). We can use the formula for slope (which represents price per ton, as it's the rate of change of salvage value with respect to tons of steel) $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(x_1,y_1)=(2, 440)$ and $(x_2,y_2)=(4, 880)$.

Step2: Calculate the slope

Substitute into the slope formula: $m=\frac{880 - 440}{4 - 2}=\frac{440}{2}=220$. We can check with another pair, like $(0,0)$ and $(2,440)$: $m=\frac{440 - 0}{2 - 0}=\frac{440}{2}=220$. So the price per ton is $220$.

Answer:

B. $220$