Question

Slope & Rate of ChangeWrite a real-world problem with aninitial value & constant rate ofchangeCreate an input / output table torepresent your scenarioUse the formula to find theslope: Y2- Y1———-X2 -X1X-XIGraph your line on a coordinateplane & show its "rise over run"

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Real-world problem

Step 02:

Slope and Rate of Change:

Problem:

Michael plans to travel from his home to his parents' house. The following table shows the time and distance traveled during the trip.

Slope:

point 1 (0 , 0)

point 2 (50 , 30)

`\begin{gathered} m\text{ = }(y2-y1)/(x2-x1)=\frac{30\text{ - 0}}{50\text{ - 0}}=(30)/(50)=(3)/(5) \\ \end{gathered}`

Graph:

That is the full solution.