Question

Patrick is a mountain climber. One morning, he drove to the base of a mountain whichwas at an elevation of 900 meters. While he climbed, he gained an average of 45 metersof elevation per hour. What is the slope and y-intercept of the function representingPatrick's elevation during his climb?

Answer 1

45 represents the slope while -900 is the y-intercept of the function

Here, we want to write the slope and y-intercept of the function that represents Patrick's elevation during his climbing

From the question, we are told that he averaged an elevation of 45 meters per hour

What the slope basically does is to measure a rate of change. As we can see from here, the change represents a rate and thus, we have this as our slope

To get the y-intercept of the function, we can see this as a distance of -900 meters

The reason for this is that we can see the summit of the mountain as 0 m

So we can represent the equation as;

`y\text{ = 45x-900}`