Question
Can you make a sample work for Using Proportional Relationship
Answers
GPT 3.5
Sure! Here is a sample work for using proportional relationship:
Problem: A car travels 300 miles in 5 hours. If the car maintains the same speed, how far will it travel in 8 hours?
Solution:
We can set up a proportion to solve this problem. Let's use "x" to represent the distance the car will travel in 8 hours.
We know that the car maintains the same speed throughout the journey. Therefore, we can say that the distance traveled is directly proportional to the time taken.
The proportion can be set up as:
300 miles / 5 hours = x miles / 8 hours
To solve for x, we can cross multiply:
300 * 8 = 5 * x
2400 = 5x
To isolate x, we divide both sides of the equation by 5:
2400 / 5 = x
480 = x
Therefore, the car will travel 480 miles in 8 hours if it maintains the same speed.
Problem: A car travels 300 miles in 5 hours. If the car maintains the same speed, how far will it travel in 8 hours?
Solution:
We can set up a proportion to solve this problem. Let's use "x" to represent the distance the car will travel in 8 hours.
We know that the car maintains the same speed throughout the journey. Therefore, we can say that the distance traveled is directly proportional to the time taken.
The proportion can be set up as:
300 miles / 5 hours = x miles / 8 hours
To solve for x, we can cross multiply:
300 * 8 = 5 * x
2400 = 5x
To isolate x, we divide both sides of the equation by 5:
2400 / 5 = x
480 = x
Therefore, the car will travel 480 miles in 8 hours if it maintains the same speed.