Math Problem Statement

can you write 2x=5y as a function

Solution

To express 2x=5y2x = 5y as a function, solve for yy in terms of xx:

y=25xy = \frac{2}{5}x

Thus, the function is:

f(x)=25xf(x) = \frac{2}{5}x

Would you like a graph or further explanation?

Here are five related questions:

  1. How do you find the inverse of f(x)=25xf(x) = \frac{2}{5}x?
  2. What is the slope and y-intercept of f(x)=25xf(x) = \frac{2}{5}x?
  3. How do you determine if f(x)=25xf(x) = \frac{2}{5}x is increasing or decreasing?
  4. What are the domain and range of f(x)=25xf(x) = \frac{2}{5}x?
  5. How would the function change if written in terms of xx instead of yy?

Tip:

A function is a relation where each input has exactly one output. Solving for yy ensures the equation meets this criterion.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Functions

Formulas

y = (2/5)x

Theorems

Function definition

Suitable Grade Level

Grades 7-9