create a function USING LINEAR, and the answer is 35

To create a function using a **linear equation** where the answer is 35, we can express the function in the form:

\[ f(x) = mx + b \]

Here, \(m\) is the slope, \(b\) is the y-intercept, and \(x\) is the variable. Let's choose values for \(m\) and \(b\) such that the output is 35 for a given \(x\).

### Example:
Let \(m = 5\) and \(b = 10\), then the function is:

\[
f(x) = 5x + 10
\]

Now, we want the answer to be 35. So, let's set \(f(x) = 35\) and solve for \(x\):

\[
5x + 10 = 35
\]

### Solving for \(x\):

\[
5x = 35 - 10
\]
\[
5x = 25
\]
\[
x = \frac{25}{5}
\]
\[
x = 5
\]

Thus, the linear function \( f(x) = 5x + 10 \) gives the answer 35 when \(x = 5\).

Would you like more details on how linear functions work?

### Relative questions:
1. What is the general form of a linear function?
2. How does the slope of a line affect the function's output?
3. Can you explain how the y-intercept influences a linear equation?
4. How would the function change if the slope was negative?
5. What are some real-life applications of linear functions?

**Tip:** In a linear equation, the slope defines how steep the line is, while the y-intercept is where the line crosses the y-axis.

Explore how to solve the linear equation f(x) = 5x + 10 to find when the function equals 35. This detailed solution covers essential algebra concepts like slope, y-intercept, and solving for x. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation