Question

Malia is observing the velocity of a cyclist at different times. After two hours, the velocity of the cyclist is 15 km/h. After five hours, the velocity of the cyclist is 12 km/h. Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points)

Answer 1

since she started her observation of the cyclist the first equation would be y=12x where 12 is the speed and x is the amount of hours, and y would be total distance traveled. the first part would be Y=12X from 0 to 2, where 0 is the starting point of Malia's observations, and 2 is where the cyclist started going 15KH. at X=2, Y=24

the second part would be Y=15X-6, again Y is the total distance traveled, 15 is the speed of which the cyclist is traveling. X is the amount of time in hours. and in this case it would be -6 at the end which continues the graph from (2,24) which is the point (Y=12X from o to 2) ended at.
the full equation is Y=15X-6 from 2 to 5.

the full answer is Y=12X from 0 to 2, Y=15X-6 from 2 to 5.

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