Question

Nicole is riding in a bike race that goes through a valley and a nearby mountain range.
The table gives the altitude (in feet above sea level) for the five checkpoints in the race.
Use the table to answer the questions.
1 -195
2 -122
3 1571
4 2629
5 -39

(a) The top of a hill rises 301 feet above Checkpoint 1.
What is the altitude of the top of the hill?

(b) How much higher is Checkpoint 4 than Checkpoint 1

Answer 1

To answer the questions based on the given altitudes, let's first clarify the altitudes of the checkpoints:

- Checkpoint 1: -195 feet
- Checkpoint 2: -122 feet
- Checkpoint 3: 1571 feet
- Checkpoint 4: 2629 feet
- Checkpoint 5: -39 feet

Now, let's solve each part:

(a) The top of a hill rises 301 feet above Checkpoint 1.

To find the altitude of the top of the hill, we add 301 feet to the altitude of Checkpoint 1:

\[
\text{Altitude of the top of the hill} = \text{Altitude of Checkpoint 1} + 301
\]
\[
= -195 + 301 = 106
\]

Thus, the altitude of the top of the hill is **106 feet**.

(b) To find how much higher Checkpoint 4 is than Checkpoint 1, we subtract the altitude of Checkpoint 1 from the altitude of Checkpoint 4:

\[
\text{Difference} = \text{Altitude of Checkpoint 4} - \text{Altitude of Checkpoint 1}
\]
\[
= 2629 - (-195)
\]
\[
= 2629 + 195 = 2824
\]

Therefore, Checkpoint 4 is **2824 feet** higher than Checkpoint 1.