Question

A passenger train's distance traveled is monitored over time. The results are displayed in this table. What is the constant of proportionality of this proportional relationship?

Answer 1

Step 1:

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

Step 2:

The constant of proportionality is the speed.

Speed = Distance / Time

Step 3:

`\text{Speed = }\frac{Dis\tan ce}{\text{time}}\text{ = }(60)/(1)\text{ = }(120)/(2)\text{ = }(180)/(3)\text{ = }(240)/(4)\text{ = }(300)/(5)\text{ = 60 mi/h}`

Final answer

The constant of proportionality = 60