Final answer:
The x-intercept of the equation y = -0.13x + 11.2 is found by setting y to zero and solving for x, resulting in an x-intercept of approximately 86.15. Its real-world feasibility depends on context.
Step-by-step explanation:
The x-intercept of the trend line is the point where the line crosses the x-axis, which occurs when y is equal to zero. The given equation of the trend line is y = -0.13x + 11.2. To find the x-intercept, we set y to zero and solve for x:
0 = -0.13x + 11.2
x = 11.2 / 0.13
x ≈ 86.15
Therefore, the x-intercept is approximately 86.15. In a real-world situation, an x-intercept can be possible, but its feasibility depends on the context. For example, if x represents time in years, an x-intercept at 86.15 would not make sense if the scenario pertains to a time before the study or observation began.