Question

Question 28 of 45 (1 point) | Question Attempt 2 Diane is riding in a bike race that goes through a valley and a nearby mountain range. The table glves the altitudes (In feet above sea level) for the five checkpoints in the race. Use the table to answer the questions.

Answer 1

Recall that the number line consists of positive numbers, the zero and the negative numbers. Graphically, they are represented by a number line, where the center is number 0 and any other number represents the "distance" from that number to number 0. Negative numbers are located to the left of 0 and positive numbers are located to the right of 0. A picture looks like this

In this case, the number 160 is located at a distance of 160 from 0 and it is at the right side of 0. The number -187 is located at a distance of 187 from 0 and it is at the left side of 0.

In this case, we want to use the number line, but vertically, to represent altitude referenced to the sea level. A picture of it looks like this

In this case, 0 is our reference, so 0 represents that you are at sea level. Positive numbers are located above 0, so they represent altitude above sea level. Also, negative numbers are located under 0, so they represent the altitude below sea level.

To find the checkpoint that the is the farthest above sea level, we should look for the maximum number of the altitudes we are given. In this case, that is 2878, which corresponds to checkpoint 1.

To find the checkpoint that is the farthest under sea level, we should look for the biggest number among the negative numbers, whenever we remove the negative sign. In this case, we have the number -104 and -187. If we remove the negative sign, we get the numbers 104 and 187. Between this two, the number 187 is the greatest. So, this means that the number -187 is the farthest from 0. Thus, the checkpoint 4 is the farthest under sea level.