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.