Math Problem Statement

Find the output (y) of the function y= -7x + 5 if the input (x) is 15

Solution

We are given the function:

y=7x+5y = -7x + 5

To find the output when x=15x = 15, substitute 1515 for xx:

y=7(15)+5y = -7(15) + 5

y=105+5y = -105 + 5

y=100y = -100

Final Answer:

y=100y = -100

Would you like a step-by-step explanation of how this was solved?

Here are some related questions to practice:

  1. Find the output of y=7x+5y = -7x + 5 when x=3x = -3.
  2. Solve for xx if y=0y = 0 in y=7x+5y = -7x + 5.
  3. What is the y-intercept of the function y=7x+5y = -7x + 5?
  4. If y=7x+5y = -7x + 5 represents a linear equation, what is its slope?
  5. Graph the equation y=7x+5y = -7x + 5 and identify its key points.

Tip: The slope of a linear function represents the rate of change of yy with respect to xx.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

y = -7x + 5

Theorems

Linear equation properties

Suitable Grade Level

Grades 7-9