Question

1. what is the magntude of the velocity from (1,5) and (4,20) where x = hours, y = miles? 30/ miles/hr 6 miles / hr 5 miles / hr 24 miles / hr clear all

Explanation:

Step1: Calculate the change in \(y\) (miles)

The formula for the change in \(y\) (\(\Delta y\)) is \(y_2 - y_1\). Given \((x_1,y_1)=(1,5)\) and \((x_2,y_2)=(4,20)\), \(\Delta y=20 - 5=15\) miles.

Step2: Calculate the change in \(x\) (hours)

The formula for the change in \(x\) (\(\Delta x\)) is \(x_2 - x_1\). So, \(\Delta x=4 - 1 = 3\) hours.

Step3: Calculate the velocity (slope)

Velocity \(v=\frac{\Delta y}{\Delta x}\). Substituting the values from Step1 and Step2, \(v=\frac{15}{3}=5\) miles/hr.

Answer:

5 MILES/HR