calc_tutorial_14_1_045

 
Problem Statement

{70,75,80,85,90}
{7}
85*7
{8}
85*8
{2000}
{3900}

Refer to the figure below.

Figure 1.1: Contour Map

Estimate the average rate of change from A to B and from A to C using x = 85 m.

 
Step 1

Question Sequence

Question 1

Given a contour map with two points P and Q on the map and corresponding points and on the surface, the average rate of change from P to Q is

where Δaltitude (or elevation) is the change in height from to , and Δhorizontal is the distance from P to Q.

Find how many level curves the segment spans.

spans level curves.

Using the contour interval given, find Δaltitude, the change in height from to .

Δaltitude = m.

Find how many level curves the segment spans.

spans level curves.

Using the contour interval given, find Δaltitude, the change in height from to .

Δaltitude = m.

Correct.
Incorrect.

 
Step 2

Question Sequence

Question 2

Using the horizontal scale, estimate the distance (in meters) from A to B.

The distance from A to B is approximately m.

Using the horizontal scale, estimate the distance (in meters) from A to C.

The distance from A to C is approximately m.

Correct.
Incorrect.

 
Step 2

Question Sequence

Question 3

Find the average rate of change from A to B. (Round your answer to four decimal places.)

≈

Find the average rate of change from A to C. (Round your answer to four decimal places.)

≈

Correct.
Incorrect.