Question

Han and Chewy are flying the Millennium Falcon to Cloud CityThey have already traveled 20 miles, and they are flying at a constant rate of 50 mi/h. Write a function that models the distance they fly as a function of time.Function notation in slope-intercept form:

Answer 1

They have already traveled 20 miles, so the starting point at x=0 hours is y(0)=20 miles.

The constant rate of 50 mi/h is the slope that relates the variation of the distance y with the variation of time x. As we have a constant rate, we have a linear relationship and this rate is called slope.

Then, we have the y-intercept of the line y(0)=20 and the slope m= 50 mi/h.

We can write the function in slope-intercept form as:

$y=mx+b=50x+20$

Answer: y = 50x + 20