I. You remove 10 lbs of apples from a pile.
II. You fill a tub with 10 gallons of water.
III. You withdraw $10 from a bank account.
The integer -10 would BEST represent which of these events?
Responses
A I onlyI only
B II onlyII only
C I and III onlyI and III only
D II and III only
D) II and III only
A rock is thrown into a lake from a bridge 133 feet above the lake's surface. The rock sinks 78 feet below the lake's surface. What is the difference between the elevations?
Responses
A 55 feet55 feet
B 211 feet211 feet
C −55 feet−55 feet
D −211 feet
B) 211 feet
25 − (−81) =
Responses
A −56−56
B 5656
C 106106
D 116
A) -56
A roller coaster climbs 110 feet from ground level then drops 65 feet before climbing another 135 feet. How far does the coaster need to drop or climb to be back at ground level.
Responses
A Drop 70 feetDrop 70 feet
B Drop 180 feetDrop 180 feet
C Climb 70 feetClimb 70 feet
D Climb 180 feet
C) Climb 70 feet
-84 - (-45) =
Responses
A -93-93
B -39-39
C -29-29
D 39
B) -39
To determine which event can be best represented by the integer -10, we need to understand the concept of positive and negative numbers. In this case, the negative sign indicates subtraction or removal.
I. Removing 10 lbs of apples from a pile indicates a subtraction of 10 lbs, which can be represented by -10.
II. Filling a tub with 10 gallons of water represents an addition or increase, which is not indicated by the negative sign. Thus, this event cannot be represented by -10.
III. Withdrawing $10 from a bank account implies a subtraction or a decrease of $10, which can be represented by -10.
Therefore, the event that can be best represented by the integer -10 is C) I and III only, as it represents the subtraction of 10 lbs of apples and the subtraction of $10 from a bank account.