13.

Francesca is meeting Mercedes at a store. The line F(m) shows the path Francesca will take, and the line labeled M(m) represents the path of Mercedes.

What does the intersection of the two paths represent?

Desmos Link

(1 point)
Responses

It took 8 minutes for both people to arrive at the store that was 16 feet away.
It took 8 minutes for both people to arrive at the store that was 16 feet away.

It took 16 minutes for both people to arrive at the store that was 8 feet away.
It took 16 minutes for both people to arrive at the store that was 8 feet away.

It took 10 minutes for both people to arrive at the store that was 16 feet away.
It took 10 minutes for both people to arrive at the store that was 16 feet away.

It took 10 minutes for both people to arrive at the store that was 8 feet away.

1 answer

The intersection of the two paths, F(m) and M(m), represents the moment in time when both Francesca and Mercedes arrive at the store.

To determine the correct response, you need to look at the values of the coordinates at the intersection point. Since the options mention specific times and distances, the correct interpretation would be the description associated with that intersection.

Based on typical formulations of these kinds of problems, it is likely that the following would be true:

  1. If the intersection point is at (8, 16), the response would be: "It took 8 minutes for both people to arrive at the store that was 16 feet away."

  2. If the intersection point is at (16, 8), the response would be: "It took 16 minutes for both people to arrive at the store that was 8 feet away."

  3. If the intersection point is at (10, 16), it would be: "It took 10 minutes for both people to arrive at the store that was 16 feet away."

  4. If the intersection point is at (10, 8), then the corresponding response would be: "It took 10 minutes for both people to arrive at the store that was 8 feet away."

Make sure to check the actual Desmos graph to find the precise intersection coordinates and choose the appropriate response based on those values. Without actual data from Desmos, I can only guide you on how to determine which response is correct.