Mistake Master
Student view — seeing the site as a student does
Mistake Master · AP Calculus · Unit 2 · Step-Through Animation

Take the Nearest Row on Each Side

You'll learnhow to estimate a rate from a table or a printed graph: which two rows to divide, why one on each side beats two on one side, and how to write the answer as an estimate.

A tank is filling, and all you have is the meter reading once a minute. No formula, no curve between the readings. How fast is it filling at exactly 3 minutes, and which two readings should you divide to find out? Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · NEAREST ROW ON EACH SIDE · AN ESTIMATE IS NOT AN EQUALITY · v2

seven rows of data · V′(3) ≈ 5.8 liters per minute
Before you start
What you're looking at
A tank filling up. The meter was read once a minute, and those seven numbers are all we have. Each column of the table sits above its point on the plot.
The question
How fast is the tank filling at exactly 3 minutes, and which two readings do you divide to find out?
Step 1 / 12