To determine in which situation the quotient of [tex]\(-24 \div 3\)[/tex] can be used, let’s analyze each situation one by one.
### Option A:
The temperature of a substance decreased by [tex]\(24^{\circ} C\)[/tex] per minute for 3 minutes. What was the overall change of the temperature of the substance?
Here, the temperature decrease is described as per minute, and we want the overall change over 3 minutes. Let's calculate this:
- If the rate is [tex]\(-24^{\circ} C\)[/tex] per minute, then over 3 minutes:
[tex]\[
\text{Total change} = -24 \times 3 = -72^{\circ} C
\][/tex]
The quotient [tex]\( -24 \div 3 \)[/tex] does not give us the information we need here, which is the total temperature change over 3 minutes.
### Option B:
A football team lost 24 yards on one play, then gained 3 yards on the next play. How many total yards did the team gain on the two plays?
For this scenario, the team lost 24 yards and gained 3 yards. The total yards can be calculated as follows:
- Total yards = [tex]\(-24 + 3 = -21\)[/tex] yards
The quotient [tex]\(-24 \div 3\)[/tex] produces [tex]\(-8\)[/tex], which is not relevant here since the calculation involves addition of yards lost and gained rather than division.
### Option C:
Julia withdrew a total of [tex]$24 from her bank account over 3 days. She withdrew the same amount each day. By how much did the amount in her bank account change each day?
In this case, we need to find the daily withdrawal amount:
- Total withdrawal = \( -24 \) dollars over 3 days
- Daily withdrawal = \(-24 \div 3 = -8\) dollars per day
This quotient gives us the daily change, which is \(-8\) dollars per day, matching the described scenario.
### Option D:
A cookie jar contains 24 cookies. Each child receives 3 cookies. How many children are there?
For this scenario, we divide the total number of cookies by the number of cookies per child to find the number of children:
- Number of children = \( 24 \div 3 = 8 \)
Since this situation involves a positive quotient, the calculation does not require the use of \(-24 \div 3\).
Therefore, the correct answer here is:
C. Julia withdrew a total of $[/tex]24 from her bank account over 3 days. She withdrew the same amount each day. By how much did the amount in her bank account change each day?
