Question

Joe planned a hiking trip from where he parked his car to the mountain cabin he had rented. Joe parked 12 miles away from the cabin. After one hour, he was still 7 miles from the cabin. Joe’s hike from his car to the cabin can be modeled by the function f(x)= -3x+12.

Does Julie’s scenario match the linear function graphed? If not, where does she go wrong? How can she correct her mistake and match scenario to the function?

Answer 1

No the graph does not match her scenario.

If you look at the graph at 1 hour, the line does not cross at 7, it crosses at 9.

This means after an hour Joe was still 9 miles from the cabin, not 7.

She will need to change her scenario by saying he was 9 miles away after an hour.