Question

Use the image to answer the question.

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

Silvio is meeting his friend Fernando at a café. In the graph, S(m)
represents Silvio’s path and F(m)
represents Fernando’s path to the café. How long will it take for both of them to arrive at the café?

(1 point)
Responses

20 minutes
20 minutes

28 minutes
28 minutes

60 minutes
60 minutes

0 minutes

Answer 1

Distance (feet)
70-
y
60-
S(m)
50-
40-
30-
20-
F(m)
10-
0-
0 2
4 6
(20,20)
8 10 12 14 16 18 20 22 24 26
Time (minutes)
x

Answer 2

To determine how long it will take for both Silvio and Fernando to arrive at the café, we need to find the point of intersection between the two lines \( S(m) \) and \( F(m) \) on the graph. The x-coordinate of this intersection point represents the time it takes for both of them to arrive at the café.

Since I can't see the image, I can't directly identify the point of intersection or its corresponding value. However, you should look at the graph and identify where the solid line (Fernando's path \( F(m) \)) and the dotted line (Silvio's path \( S(m) \)) intersect.

The x-coordinate of that intersection point will tell you how long it takes them both to arrive at the café. If you see that they intersect at 20 minutes, then the answer is 20 minutes, and so forth for the other options.

If you can share the specific time at which they intersect or any additional information about the graph, I would be able to help you more.

Answer 3

From the details you provided about the graph, it looks like Silvio's path \( S(m) \) and Fernando's path \( F(m) \) intersect at the point (20, 20). This indicates that at 20 minutes, both Silvio and Fernando are at the same distance from the café (which appears to be 20 feet in this case).

Thus, both Silvio and Fernando will arrive at the café in **20 minutes**.

So, the correct response is:

**20 minutes**.