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?

Question

The F(m) line starts at 0,10, and slowly moves upward, going to the end of the chart at 16,22. The M(m) line is at 0,0, and quickly moves upward, going to the end of the chart at 14,28. They intersect at 8,16.

Answer 1

To determine how long it will take for Francesca and Mercedes to arrive at the store, we can analyze their respective paths indicated by the lines F(m) and M(m) and the intersection point.

1. Francesca's Path (F(m)): Begins at (0, 10) and ends at (16, 22).

   • This means she starts from a point representing a time of 0 minutes with a value of 10 (perhaps 10 units of distance).
   • At the intersection point (8, 16), this means she will have traveled for 8 minutes and reached a distance of 16 units.

2. Mercedes' Path (M(m)): Begins at (0, 0) and ends at (14, 28).

   • This indicates she starts at (0, 0) and moves quickly upward.
   • At the intersection point (8, 16), means she also has traveled for 8 minutes and reached a distance of 16 units.

Since both paths intersect at (8, 16), it indicates that they will arrive at the store at the same time of 8 minutes after starting.

Therefore, it will take them 8 minutes to arrive at the store.