Question

An Indy race car driver makes a pit stop at the beginning of the lap. The time t in seconds that it takes the driver to complete the lap including the poor stop can be modeled by

Answer 1

12 is the horizontal asymptote of the function, it represent the pit stop.

Explanation:

Here is the complete question: An Indy race car driver makes a pit stop at the beginning of the lap. The time t in seconds that it takes the driver to complete the lap including the poor stop can be modeled by :

`t(r)= (12r+9000)/(r) ,`

Where r is the driver´s average speed in miles per hour after pit stop. What is the horizontal asymptote of the function, and what does it represnt?

Now, lets find the horizontal asymptote

lets assume the horizontal asymptote be "y".

As given function for time, we know that r is variable in the function.

∴ horizontal asymptote=
`(leading\ coefficient\ of\ numerator)/(leading\ coefficient\ of\ denominotor)`

⇒ y=
`(12)/(1) = 12`

∴ horizontal asymptote= 12.

horizontal asymptote is at y=12, representing the pit stop.