Question

A six-ounce paper cup has a hole in the bottom and leaks water. If it was originally full and has only two ounces after 40 minutes, what is the rate of change of the amount of water in the cup per minute?
1/10 ounces per minute.

-1/10 ounces per minute.

10 ounces per minute

-10 ounces per minute

Answer 1

Hey there, 

Lets solve this problem together. 

We know that a six-ounce paper cup has a hole in the bottom and leaks water. If it was originally full and has only two ounces after 40 minutes.
 
$(0,6)(40,2) (slope) = (2-6) / (40 - 0) slope = -4/40 slope = -1/10 per minute$

Answer 2

(0,6)(40,2)
rate of change (slope) = (2-6) / (40 - 0)
slope = -4/40
slope = -1/10 per minute