Question

modeling real life the number line shows the temperatures at 2:00 a.m. and 2:00 p.m. in the gobi desert. find the distance between the points.
2:00 a.m. -13°f
2:00 p.m. 38°f
the distance between the two points is □
interpret the distance between the points.

Explanation:

Step1: Recall distance formula

The distance between two points $a$ and $b$ on a number line is $|a - b|$.

Step2: Substitute values

Let $a = -13$ (2:00 A.M. temp) and $b = 38$ (2:00 P.M. temp).
$\text{Distance} = |-13 - 38| = |-51|$

Step3: Evaluate absolute value

The absolute value of $-51$ is 51.

Answer:

The distance between the two points is $\boldsymbol{51}$.
This distance represents the difference in temperature (in degrees Fahrenheit) between 2:00 A.M. and 2:00 P.M. in the Gobi Desert, meaning the temperature increased by 51°F from 2:00 A.M. to 2:00 P.M.