Question

on an expedition, archaeologists kept track of their elevations, in meters, as shown.
bob
starting elevation: 6.7 m
change in elevation: -12.5 m
ending elevation: choose
alice
starting elevation: -3.6 m
change in elevation: 21.4 m
ending elevation: choose
taro
starting elevation: 4.7 m
change in elevation: -15.9 m
ending elevation: choose
mina
starting elevation: -5.6 m
change in elevation: -24.4 m
ending elevation: choose
cole
starting elevation: 5.1 m
change in elevation: -18.5 m
ending elevation: choose
what is the ending elevation of each archaeologist?
click or tap the correct elevation from each dropdown menu.

Explanation:

To find the ending elevation for each archaeologist, we use the formula:
Ending Elevation = Starting Elevation + Change in Elevation

Bob:

Step1: Identify values

Starting Elevation = \( 6.7 \, \text{m} \), Change in Elevation = \( -12.5 \, \text{m} \)

Step2: Calculate ending elevation

\( 6.7 + (-12.5) = 6.7 - 12.5 = -5.8 \, \text{m} \)

Alice:

Step1: Identify values

Starting Elevation = \( -3.6 \, \text{m} \), Change in Elevation = \( 21.4 \, \text{m} \)

Step2: Calculate ending elevation

\( -3.6 + 21.4 = 17.8 \, \text{m} \)

Taro:

Step1: Identify values

Starting Elevation = \( 4.7 \, \text{m} \), Change in Elevation = \( -15.9 \, \text{m} \)

Step2: Calculate ending elevation

\( 4.7 + (-15.9) = 4.7 - 15.9 = -11.2 \, \text{m} \)

Mina:

Step1: Identify values

Starting Elevation = \( -5.6 \, \text{m} \), Change in Elevation = \( -24.4 \, \text{m} \)

Step2: Calculate ending elevation

\( -5.6 + (-24.4) = -5.6 - 24.4 = -30.0 \, \text{m} \)

Cole:

Step1: Identify values

Starting Elevation = \( 5.1 \, \text{m} \), Change in Elevation = \( -18.5 \, \text{m} \)

Step2: Calculate ending elevation

\( 5.1 + (-18.5) = 5.1 - 18.5 = -13.4 \, \text{m} \)

Answer:

s:

• Bob: \( \boldsymbol{-5.8 \, \text{m}} \)
• Alice: \( \boldsymbol{17.8 \, \text{m}} \)
• Taro: \( \boldsymbol{-11.2 \, \text{m}} \)
• Mina: \( \boldsymbol{-30.0 \, \text{m}} \)
• Cole: \( \boldsymbol{-13.4 \, \text{m}} \)