The function t=20r

Question

can be used to find the amount of time in hours when traveling 20 miles at a rate of r miles per hour.

What is the end behavior as r increases and what does it indicate?

Select the correct answers from the lists.

(1 point)
The end behavior as r increases is t
approaches 20
.

It represents that as the rate increases, the time it takes to travel 20 miles
increases and approaches 20 minutes
.

Answer 1

The appropriate statement regarding the end behavior as \( r \) increases is:

The end behavior as \( r \) increases is \( t \) approaches 1.

It represents that as the rate increases, the time it takes to travel 20 miles decreases and approaches 1 hour.

Explanation:

Given the function \( t = \frac{20}{r} \), we can observe:

• As \( r \) (the rate in miles per hour) increases, \( t \) (the time in hours) decreases because you are covering the same distance (20 miles) at a faster speed.

• To clarify the time conversion, 1 hour is equivalent to 60 minutes, so \( t \) approaching 1 hour is the correct interpretation.

Therefore, you might want to correct your original statements to reflect these points about the relationship accurately.