To find the intercepts of the linear model $s(t) = 5500 - 500t$, we need to determine both the vertical and horizontal intercepts.

1. Vertical Intercept (s-axis): This occurs when $t = 0$: $s(0) = 5500 - 500(0) = 5500$ Therefore, the vertical intercept is $(0, 5500)$.

2. Horizontal Intercept (t-axis): This occurs when $s(t) = 0$: $0 = 5500 - 500t$ Solving for $t$: $500t = 5500 \quad \Rightarrow \quad t = \frac{5500}{500} = 11$ Therefore, the horizontal intercept is $(11, 0)$.

Summary of Intercepts:

• Vertical Intercept: $(0, 5500)$
• Horizontal Intercept: $(11, 0)$

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. What does the slope of the line represent in this context?
2. How can we interpret the distance remaining after 5 hours?
3. What would the remaining distance be after 11 hours?
4. If the plane travels at a different speed, how would the equation change?
5. How can we graph this linear model?

Tip: When analyzing linear equations, the intercepts provide key insights into the relationship between the variables.