In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation you’re familiar with where one quantity changes constantly in relation to another quantity. How are the two quantities in the situation related? If you represent the two quantities on a graph, what will it look like?
One situation that I'm familiar with where one quantity changes constantly in relation to another quantity is the speed of a car during a road trip.
In this case, the two quantities are the distance traveled and the time taken. As the car moves along the road, the distance traveled increases, and the time taken also increases. The rate at which the car covers distance is its speed.
If I were to represent the distance traveled and time on a graph, it would be a linear graph with time on the x-axis and distance on the y-axis. The graph would show a straight line sloping upwards from left to right, indicating that as time increases, the distance traveled also increases. The steeper the slope of the line, the higher the speed of the car.