The table shows the proportional relationship between the salvage value and tons of raw steel.
Tons of steel 0 2 4 6 8 10 Salvage value 0 360 720 1,080 1,440 1,800
What is the constant of proportionality in terms of salvage value per ton of raw steel?
To find the constant of proportionality, we need to determine the rate of change between the salvage value and the tons of raw steel.
The salvage value increases by 360 for every 2 tons of steel.
Therefore, the rate of change is 360/2 = 180.
So, the constant of proportionality (salvage value per ton of raw steel) is 180.
To find the constant of proportionality, we can choose any two points on the table and find the ratio of the change in salvage value to the change in tons of steel. Let's choose the points (2, 360) and (4, 720).
Change in salvage value = 720 - 360 = 360
Change in tons of steel = 4 - 2 = 2
Constant of proportionality = Change in salvage value / Change in tons of steel
= 360 / 2
= 180
Therefore, the constant of proportionality in terms of salvage value per ton of raw steel is 180.
To find the constant of proportionality, you can divide any of the corresponding values of salvage value and tons of steel. Let's take the first set of values: (0, 0).
The constant of proportionality (k) can be calculated by dividing the salvage value by the tons of steel. In this case, it would be:
k = Salvage value / Tons of steel
k = 0 / 0
Since any number divided by zero is undefined, we can't determine the constant of proportionality using the first set of values.
However, we can calculate the constant of proportionality using any other set of values from the table. For example, let's use the second set of values: (2, 360).
k = Salvage value / Tons of steel
k = 360 / 2
k = 180
Therefore, the constant of proportionality in terms of salvage value per ton of raw steel is 180.