Write a story that can be represented by the equation y=x+1/4x
You could do Johnny had 75 bags of coins, over the next week he earned 25% more how many bags of candy does Johnny have now?
something involving a 25% increase
thanks!
A business had 25 percent of its staff missing how many were there.
To create a story represented by the equation y = x + 1/4x, we can consider the relationship between two variables: x and y. In this equation, the value of y is determined by x, plus one-fourth of x.
Let's imagine a scenario where x represents the number of hours a group of friends spend hiking, and y represents the total distance they cover in miles.
Once upon a time, a group of friends decided to go hiking in a beautiful mountain range. They were excited and prepared for their adventure. They started their hike early in the morning with an initial distance of 0 miles (y = 0).
As they continued their hike, they realized that the distance they covered (y) was directly related to the time they spent hiking (x). For every hour they hiked (x), they managed to cover the same distance they hiked plus an additional one-fourth of that distance.
For example, after hiking for 1 hour (x = 1), they covered a total distance of 1 + 1/4(1) = 1.25 miles (y = 1.25). After 2 hours (x = 2), they covered 2 + 1/4(2) = 2.5 miles (y = 2.5). The pattern continued as the group hiked for 3, 4, 5, or more hours.
As the friends continued their journey, they experienced the changing landscapes, encountered various wildlife, and enjoyed each other's company. They marveled at the beauty of nature and the feeling of accomplishment as they watched their total distance increase with each passing hour.
Eventually, the friends decided to call it a day and made their way back to the starting point. They realized that the maximum distance they could have covered in their hike was infinity (y approaches infinity) as x increased indefinitely. However, in reality, they reached a specific point and had to return.
This story, represented by the equation y = x + 1/4x, showcases the relationship between time spent hiking (x) and the distance covered (y). It demonstrates how their cumulative progress increased with each hour while accounting for the additional one-fourth of the distance they hiked.