Math Problem Statement

Evaluate the function for the given value. f(x) = 10x - 15 for x = 5

Solution

The problem requires evaluating the function f(x)=10x15f(x) = 10x - 15 for x=5x = 5.

Solution:

  1. Substitute x=5x = 5 into the function: f(5)=10(5)15f(5) = 10(5) - 15
  2. Calculate 10×5=5010 \times 5 = 50.
  3. Subtract 15 from 50: f(5)=5015=35f(5) = 50 - 15 = 35

Answer:

f(5)=35f(5) = 35

Would you like further details or have any questions?


Here are some additional related questions:

  1. What is f(x)f(x) when x=10x = 10 for the same function?
  2. How does the function f(x)=10x15f(x) = 10x - 15 change if the coefficient of xx is altered?
  3. Can you find the value of xx when f(x)=0f(x) = 0 for this function?
  4. How would the graph of f(x)=10x15f(x) = 10x - 15 look like?
  5. What happens to f(x)f(x) if we add a constant term, say +20+20, to the function?

Tip: When substituting values into functions, carefully follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

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Math Problem Analysis

Mathematical Concepts

Function Evaluation
Linear Functions

Formulas

f(x) = 10x - 15

Theorems

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Suitable Grade Level

Grades 7-8