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Function A and Function B are linear functions.

Function A: y = 3x + 1
Function B: y = -5x - 19
Which statement is true?
A) The y-value of Function A when x = -2 is greater than the y-value of Function B when x = -2.
B) The y-value of Function A when x = -2 is less than the y-value of Function B when x = -2.

User Tryasko
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1 Answer

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Final answer:

By substituting x with -2 in both linear functions and calculating, we determine that the y-value for Function A is -5, and the y-value for Function B is -9. Since -5 is greater than -9, the y-value of Function A at x = -2 is greater than the y-value of Function B at x = -2.

Step-by-step explanation:

The student's question involves comparing the y-values of two linear functions, Function A and Function B, at a specific value of x. We are given Function A: y = 3x + 1 and Function B: y = -5x - 19. To find out which y-value is greater when x = -2, we substitute x with -2 in both equations.

For Function A:

  • y = 3(-2) + 1
  • y = -6 + 1
  • y = -5

For Function B:

  • y = -5(-2) - 19
  • y = 10 - 19
  • y = -9

Comparing the two y-values, we see that -5 (from Function A) is greater than -9 (from Function B). Therefore, the true statement is:

A) The y-value of Function A when x = -2 is greater than the y-value of Function B when x = -2.

User HolaJan
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