From the information given, the linear function is modeled by:
[tex]y = -10x + 60, 0 \leq x \leq 6[/tex]
- It's graph is sketched at the end of this answer.
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, it goes through point (0,60), hence when [tex]x = 0, y = 60[/tex], meaning that the y-intercept is [tex]b = 60[/tex].
It also goes through point (6,0), and considering the slope is given by the change in y divided by change in x:
[tex]m = \frac{0 - 60}{6 - 0} = -10[/tex]
Hence, the equation is:
[tex]y = -10x + 60[/tex]
After the car stops, the velocity will not be negative, hence the function is valid only for x = 0 to x = 6, that is:
[tex]y = -10x + 60, 0 \leq x \leq 6[/tex]
At the end, the graph is sketched.
A similar problem is given at https://brainly.com/question/16302622
