Worksheet with four division word problems related to real-world scenarios: stock market, motion, weather, and basketball.

Let's solve each of the four problems step by step. All of them involve division to find an average rate of change over a period of time or events.

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1. STOCK MARKET

Problem:
During a 5-day workweek, the stock market decreased by 65 points. Find the average daily change in the market for the week.

Solution:

We are given:
- Total change = –65 points (negative because it decreased)
- Number of days = 5

To find the average daily change, divide the total change by the number of days:

$$
\text{Average daily change} = \frac{-65}{5} = -13
$$

✔ Answer: The average daily change is –13 points per day.

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2. MOTION

Problem:
Mr. Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds. Find the average change in speed each second.

Solution:

We are given:
- Total change in speed = –30 mph (decreased)
- Time period = 10 seconds

We want the average change per second:

$$
\text{Average change per second} = \frac{-30}{10} = -3
$$

✔ Answer: The average change in speed is –3 miles per hour per second.

> Note: This is the average deceleration rate.

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3. WEATHER

Problem:
Over the past seven days, Mrs. Cho found that the temperature outside had dropped a total of 35 degrees. Find the average change in temperature each day.

Solution:

We are given:
- Total temperature drop = –35 degrees
- Number of days = 7

$$
\text{Average daily change} = \frac{-35}{7} = -5
$$

✔ Answer: The average change in temperature is –5 degrees per day.

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4. BASKETBALL

Problem:
The basketball team lost their last 6 games. They lost by a total of 48 points. Find their average number of points relative to their opponents.

Solution:

They lost by a total of 48 points over 6 games, meaning they scored 48 fewer points than their opponents overall.

So, the total point difference = –48 (negative because they lost)

Now divide by the number of games:

$$
\text{Average point difference per game} = \frac{-48}{6} = -8
$$

✔ Answer: Their average number of points relative to their opponents is –8 points per game.

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✔ Final Answers:

1. Stock Market: –13 points per day
2. Motion: –3 mph per second
3. Weather: –5 degrees per day
4. Basketball: –8 points per game

All answers represent average rates of change using division.