“Jeremy rides his bike rate of 12 miles per hour. The table represents the number of hours and miles Kevin rides.?assume both bikers ride at a constant rates. which biker rides at a greater speed, explain your reasoning.”

The correct answer would be, Jeremy rides at a greater speed than Kevin.Step-by-step explanation:

Jeremy rides at a rate of 12 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 12/1

=> y= 12 x

For Kevin:  

(46-23)/(4-2)

= 23/2

= 11.5

So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

12 > 11.5

which means Jeremy rides at a greater speed.  

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