Question

1. here is a graph of han’s distance from home as he goes home from a store. identify the intercepts of the graph and explain what they mean in terms of han’s distance from home.

Explanation:

1. y-intercept: This is the point where the graph crosses the y-axis (time = 0 minutes). At this point, the distance from home is 10 miles, which means when Han starts his trip from the store, he is 10 miles away from home.
2. x-intercept: This is the point where the graph crosses the x-axis (distance from home = 0 miles). At this point, the time is 10 minutes, which means after 10 minutes of traveling, Han has reached home, so his distance from home is 0.

Answer:

• y-intercept: $(0, 10)$: When Han begins traveling from the store (at 0 minutes), he is 10 miles from home.
• x-intercept: $(10, 0)$: After 10 minutes of traveling, Han arrives home, so his distance from home is 0 miles.