Tells us how high to go up, how far to move in the vertical direction. So point A is at the coordinate (5, 400). Of point A represents the distance driven in four hours. Which statements about the graph are true? Select all that apply. Anyway, with all of that out of the way, let's actually answer the questions. This is also the proportionality constant. Kilometers, time is in hours, 80 km per hour, this is the rate at which we are driving. More obvious than dealing with the rate, distance is in Include the units there, it might be a little In fact, we can say thatĭistance divided by time, our proportionalityĬonstant is going to be 80. Or if you wanna go the other way around, to go from time to distance, we're always multiplying by 80. 400 divided by five is 80, and 200 divided by 2.5 And notice, the ratioīetween these variables at any one of these points is the same. This point right over here, when our time is 2.5, we see that our distance driven is 200 km. Over here, we see that when our time is five hours, our distance travelled or driven is 400 km. So I'm gonna look at where does the graph kind of hitĪ very well-defined point.
Relationship that goes through the origin, you're dealing withĪ proportional relationship. Have zero distance, and we can also see that it's a line, then How do we know that? Well, the point (0, 0) is on this graph, the graph goes through the origin. That this, indeed, is a proportional relationship, Measured in kilometers, then we have the time drivingĪnd it's measured in hours along the horizontal axis. So we have the distance driven on the vertical axis, it's Relationship between the distance driven and the amount of time driving shown in the following graph, Practice interpreting graphs of proportional relationships.
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