Question

Question 3TShow your work in the sketch box and explain yourthinking below.Which situation results in a final value of zero?A. the overall change in temperature when thetemperature goes from -10°F to 10°FSubmitB.the total profit made when a person buys anitem for $2.25 and then sells the item for$2.25C. the overall change in altitude of a hot airballoon after rising 21 kilometers from sealevelD. the total distance a person travels when hebikes 3.1 miles to school and then bikes3.1 miles back home

Answer 1

We are asked to find out which situation results in a final value of zero?

Let us analyze each of the given options.

A. the overall change in temperature when the temperature goes from -10°F to 10°F

`10\degree F-(-10\degree F)=10\degree F+10\degree F=20\degree F`

As you can see, the change in the temperature is not 0, hence it is not the correct answer.

C. the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level.

The sea level elevation is defined as 0.

So, an altitude change of 21 kilometers does not make it 0.

Hence it is not the correct answer.

D. the total distance a person travels when he bikes 3.1 miles to school and then bikes 3.1 miles back home.

The total distance covered in this case is

3.1 + 3.1 = 6.2 miles

As you can see, the total distance covered is not 0, hence it is not the correct answer.

B. the total profit made when a person buys an item for $2.25 and then sells the item for $2.25

The profit is given by

`\begin{gathered} profit=buying\: price-selling\: price \\ profit=\$2.25-\$2.25 \\ profit=0 \end{gathered}`

As you can see, the total profit made is 0.

Therefore, this is the correct answer.