Question

or each scenario, choose the best statement.
scenarios\tstatements
(a) a boxer loses 6 pounds and then gains 6 pounds.\tthe boxer is above his starting weight.
the boxer is below his starting weight.
the boxer is at his starting weight.
(b) you are paid $19 and then you spend $23.\tyou have more money than you started with.
you have less money than you started with.
you have the same amount of money you started with.
(c) a roller coaster goes up 50 feet and then down 0 feet.\tthe roller coaster is above its initial height.
the roller coaster is below its initial height.
the roller coaster is 0 feet from its initial height.

Explanation:

Part (a)

Step 1: Define the starting weight

Let the starting weight of the boxer be \( w \) pounds.

Step 2: Calculate the weight after losing 6 pounds

After losing 6 pounds, the weight is \( w - 6 \) pounds.

Step 3: Calculate the weight after gaining 6 pounds

After gaining 6 pounds, the weight is \( (w - 6)+6=w \) pounds. So the boxer is at his starting weight.

Part (b)

Step 1: Define the starting money

Let the starting money be \( m \) dollars.

Step 2: Calculate the money after being paid $19

After being paid $19, the money is \( m + 19 \) dollars.

Step 3: Calculate the money after spending $23

After spending $23, the money is \( (m + 19)-23=m - 4 \) dollars. Since \( m-4

Part (c)

Step 1: Define the initial height

Let the initial height of the roller - coaster be \( h \) feet.

Step 2: Calculate the height after going up 50 feet

After going up 50 feet, the height is \( h + 50 \) feet.

Step 3: Calculate the height after going down 0 feet

After going down 0 feet, the height is \( (h + 50)-0=h + 50 \) feet. Since \( h + 50>h \), the roller - coaster is above its initial height.

Answer:

(a) The boxer is at his starting weight.
(b) You have less money than you started with.
(c) The roller coaster is above its initial height.