# Linear Equations and Quatitives Whole Lesson -- Getting Ahead

- Author:
- Arpit Kesharwani, IM 6 - 8 Math

- Topic:
- Equations, Linear Equations

## In this demonstration below, their are zero marbles and the water is at 60 ml. How many marbles are needed to have the water go up to 100? Plot this on a graph (graphy below) and write the answer below.

## Answer here

In this demonstration below, their are zero marbles and the water is at 60 ml. How many marbles are needed to have the water go up to 100?

## Answer here

What is the slope of the problem?

Warm Up done! Now you wil have to make equations to solve your problems.
Let's do a practice problem.
A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet above sea level.

- Find the elevation of the road at the point where the road begins.
- Describe where you would see the point in part (a) on a graph where yrepresents the elevation in feet and x represents the distance along the road in miles.

- 4800 feet above sea level
- The point would be (0,4800) located on the y-axis.