Question

A hiker is at an altitude of -14 meters. Her altitude increased by 10 meters. Write a number sentence to show this scenario.

a. Hiker's final altitude = Hiker's initial altitude + increase in altitude
b. Hiker's initial altitude = Hiker's final altitude - increase in altitude
c. Hiker's final altitude = Hiker's initial altitude - increase in altitude
d. Hiker's initial altitude = Hiker's final altitude + increase in altitude

Answer 1

The correct number sentence representing the hiker's altitude change is option (a), which is 'Hiker's final altitude = Hiker's initial altitude + increase in altitude', yielding the hiker's final altitude as -4 meters.

Step-by-step explanation:

To represent the scenario of the hiker's altitude change mathematically, we create an equation using the given data. The hiker starts at an altitude of -14 meters and experiences an altitude increase of 10 meters. The number sentence that correctly shows the final altitude of the hiker is:

Hiker's final altitude = Hiker's initial altitude + increase in altitude

This translates to:

Final altitude = (-14) + 10

Therefore, the correct answer that reflects this change is option (a).