Question

3 write a story that can be represented by the equation $y = x + \frac{1}{4}x$.

Explanation:

To create a story for \( y = x+\frac{1}{4}x \), we can use a context like quantities of objects. Let's define \( x \) as a base quantity and \( \frac{1}{4}x \) as an additional quantity related to it. For example, in a fruit - selling scenario:
Let \( x \) be the number of apples a store has. The store also has pears, and the number of pears is \( \frac{1}{4} \) of the number of apples. Let \( y \) be the total number of apples and pears. So the number of pears is \( \frac{1}{4}x \), and the total number of fruits \( y=x + \frac{1}{4}x \).
A more detailed story: There is a small grocery store. The owner counts the number of apples in stock, and let's say the number of apples is \( x \). Then, the number of pears in the store is a quarter of the number of apples. If we want to find the total number of apples and pears in the store, we can use the equation \( y=x+\frac{1}{4}x \), where \( y \) represents the total number of apples and pears.

Answer:

Here is a story: There is a small grocery store. The number of apples in the store is \( x \). The number of pears in the store is \( \frac{1}{4} \) of the number of apples. Let \( y \) be the total number of apples and pears in the store. Then the relationship between the number of apples, pears, and the total number of fruits is represented by the equation \( y = x+\frac{1}{4}x \).