Question

Please Help....Which statements include two quantities in the real world that are additive inverses? Select each correct answer. A plane ascends 500 yards and descends 100 yards. Twenty gallons of water leak from a pool and 20 gallons are put back into the pool. A driver drives 40 miles north and 30 miles south. A person deposits $100 in to her bank account and then withdraws $100 from the same account.

Answer 1

The bank account. 100 - 100 = 0

Answer 2

Answer: Second and Fourth options are correct.

Explanation:

Since we know that

Additive inverse means

`a+(-a)=0`

so, -a is the additive inverse of a.

So, according to options, we get that

A plane ascends 500 yards and descends 100 yards.

Ascends = (+)500 yards

Descends = (-) 100 yards

So, -100 is not an additive inverse of +500.

Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.

Number of gallons are leaked out = (-)20

Number of gallons are put back = (+)20

So, we can write

+20-20=0

So, -20 is the additive inverse of +20.

A driver drives 40 miles north and 30 miles south.

Number of miles towards north = +40

Number of miles towards south = -30

So, -30 is not additive inverse of +40.

A person deposits $100 in to her bank account and then withdraws $100 from the same account.

Amount he deposited into her bank = $100

Amount he withdraws from bank = -100

So, we can write as

+100-100=0

So, -100 is an additive inverse of 100.

Hence, Second and Fourth options are correct.