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Question

After visiting relatives who live 200 miles away, your family drives home at an average speed of 50 miles per hour. Your distance d( in miles) from home is given by d=200-50t where t is the time (in hours)spent driving. Graph the function and identify its domain and range. What is your distance from home after driving for 1.5 hours?

Answer 1

After visiting relatives who live 200 miles away, your family drives home at an average speed of 50 miles per hour. Your distance d( in miles) from home is given by d=200-50t where t is the time (in hours)spent driving. Graph the function and identify its domain and range. What is your distance from home after driving for 1.5 hours?

This is a linear equation and the values are decreasing.

Start at the point (0, 200) on the y-axis go down 50 and over 1 this gives you the line. 

domain is {0, 2} hours and range is {0 to 200} miles.

d = 200 - 50t

at t = 1.5 plug in

d = 200 - 50(1.5)

d = 200 - 75

d = 125 mi