Question

A diver stood on a cliff that was 10 meters above sea level. The diver dove off the cliff into the ocean, descending a total of 36 meters. What integers represent the depth of the diver at the end of his dive?

a) -10
b) 26
c) -36
d) 46

Answer 1

The integer that represents the diver's depth at the end of his dive, after descending a total of 36 meters from a cliff 10 meters above sea level, is -46. This indicates the diver is 46 meters below sea level.

Step-by-step explanation:

When considering the integers that represent the depth of the diver at the end of his dive, we start with the diver standing on a cliff 10 meters above sea level. After diving off the cliff and descending a total of 36 meters, the diver's final position is below sea level. To find the integer that represents this depth, we add the two distances. The initial height of the diver (10 meters above sea level) is considered positive, but since the diver is diving below sea level, this distance will become negative when he is underwater. So, the calculation is -10 meters (height if it were below sea level) + (-36 meters) = -46 meters. Therefore, the integer that represents the diver's depth at the end of the dive is -46, which means the diver is 46 meters below sea level.