In class, julie was asked to create a scenario for the linear function shown. she came up with the following:

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?

The linear function that matches Julie's scenario is

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x -----> the time in hours

y ----> the distance in miles from the cabin

we know that

After one hour, he was still 7 miles from the cabin.

so

For x=1 h, y=7 mi

Observing the graph

For x=1 h, y=9 mi

therefore

Julie's scenario does not match the graphed linear function.

Find the correct linear equation that match Julie’s scenario

we have the points

(0,12) and (1,7)

Find the slope

Find the linear equation in slope intercept form

we have

----> the y-intercept is the point (0,12)

substitute

therefore

The linear function that matches Julie's scenario is

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16