Using Proportional Reasoning to Find Distance Traveled by a Car

How can you use proportional reasoning to find how far a car travels in one hour?

Answer:

Identify the unit rate as 0.75 miles per 1 minute. Since there are 60 minutes in an hour, multiply 0.75 by 60 to find how far the car travels in one hour. The facts included in the answer are:

• The unit rate is 0.75 miles per minute.
• There are 60 minutes in an hour.
• You can multiply 0.75 by 60 to find how far the car travels in one hour.

Final answer: You can use proportional reasoning to find out how far the car travels in an hour by identifying the unit rate of 0.75 miles per minute and then multiplying it by 60, as there are 60 minutes in an hour. The car would travel 45 miles in an hour.

Explanation:

To solve this problem using proportional reasoning, you first need to identify the unit rate. In this case, the car travels 0.75 miles per minute. This becomes your unit rate. And since there are 60 minutes in an hour, you can multiply this unit rate by 60 to calculate how many miles the car would travel in one hour.

Mathematically, it's represented like this: 0.75 miles/minute * 60 minutes/hour = 45 miles/hour. So, the car would travel 45 miles in one hour.

Proportional reasoning is a method of finding unknown values in a proportion using known values. In this case, the known value is the unit rate of the car's speed, and the unknown value is the distance traveled in one hour. By setting up the proportion correctly and solving for the unknown value, you can determine that the car travels 45 miles in an hour.

Proportional reasoning is a useful skill in many real-life situations, such as calculating distances, speeds, and rates. By understanding how to set up and solve proportions, you can easily find unknown values and make informed decisions based on the given information.