Question

The graph shows the distance Cyan biked as a function of time, and the table shows the distance Andre biked as a function of time.
How long did it take for Cyan to bike the distance Andre biked in 7 minutes?
Cyan
x
y
0
2
4
6
8
10
12
14
16
18
20
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Time in minutes
Distance in miles
Andre

Time in
minutes, x Andre's Distance
in miles, y
1 0.2
2 0.45
3 0.95
4 1.15
5 1.5
6 1.75
7 2
8 2.25
It took Cyan
minutes to bike the same distance Andre biked in 7 minutes.

Answer 1

To determine how long it took for Cyan to bike the distance Andre biked in 7 minutes, we first need to find out how far Andre biked in that time.

From the table of Andre's distance:

- At 7 minutes, Andre biked 2 miles.

Next, we need to find out at what time Cyan reached the same distance of 2 miles using the graph given.

From the graph of Cyan's distance:

- At 6 minutes, Cyan biked approximately 1.5 miles.
- At 8 minutes, Cyan biked approximately 2.0 miles.

This indicates that it took Cyan between 6 and 8 minutes to bike 2 miles. We can interpolate to find the specific time:

Since Cyan reached 2 miles right at 8 minutes, we can conclude that:

It took Cyan **8 minutes** to bike the same distance Andre biked in 7 minutes.