Question

kiran plans to bike 10 miles.

1. write an equation that gives his time t, in hours, as a function of his rate r, in miles per hour.

t(r) =

1. graph y = t(r).
2. what is the meaning of t(8)? does this value make sense? explain your reasoning.
3. what is the meaning of t(0)? does this value make sense? explain your reasoning.
4. as r gets closer and closer to 0, what does the behavior of the function tell you about the situation?
5. as r gets larger and larger, what does the end behavior of the function tell you about the situation?

Explanation:

Step1: Use the formula for time

The formula for time \(t\) is \(t=\frac{d}{r}\), where \(d\) is distance and \(r\) is rate. Given \(d = 10\) miles.

Step2: Write the equation

Substitute \(d = 10\) into the formula \(t=\frac{d}{r}\), we get \(t(r)=\frac{10}{r}\)

Answer:

\(t(r)=\frac{10}{r}\)