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? (2 points)
To find out how long it will take for Francesca and Mercedes to arrive at the store, we need to determine the distance between their starting points and the store. Since their paths F(m) and M(m) intersect at the store, we can use the distance formula to calculate the distance between their starting points and the store.
Let's assume that Francesca and Mercedes are both starting at point (0,0) on a coordinate plane, and the store is located at point (8,-4).
The distance between Francesca's starting point and the store is given by:
√((8-0)^2 + (-4-0)^2) = √(64 + 16) = √80 = 8.94 meters
The distance between Mercedes' starting point and the store is also 8.94 meters.
Now, we need to find out how long it will take for Francesca and Mercedes to travel this distance. Assuming both Francesca and Mercedes walk at a speed of 1 meter per minute, it will take them each 8.94 minutes to reach the store.
Therefore, it will take Francesca and Mercedes approximately 8.94 minutes to arrive at the store.