Use the image to answer the question.

Question

A solid line labeled upper F left parenthesis m right parenthesis and a dotted line labeled upper M left parenthesis m right parenthesis intersect on a coordinate plane.

Francesca is meeting Mercedes at a store. The line labeled F(m)
shows the path Francesca will take, and the line labeled M(m)
represents the path of Mercedes. How long will it take for them to arrive at the store?

Answer 1

To determine the time it will take for Francesca and Mercedes to arrive at the store, we need to find the point of intersection between the two lines \( F(m) \) and \( M(m) \) on the coordinate plane. This intersection represents the point where both paths converge, indicating that they arrive at the store simultaneously.

1. Locate the intersection point of the lines \( F(m) \) and \( M(m) \).
2. Read the coordinates of the intersection point, which typically represent time and distance.
3. If the x-axis represents time (in hours, minutes, etc.) and the y-axis represents distance (or another relevant variable), the x-coordinate of the intersection point will indicate how long it takes for both Francesca and Mercedes to arrive at the store.

Please refer to the graph to identify the intersection point and derive the duration from that point.