What does the slope of 20 represent in this situation?

Question

x
y
(3, 90)(6, 150)
0
1
2
3
4
5
6
7
8
9
10
0
21
42
63
84
105
126
147
168
189
210
Time (minutes)
Amount of Water (liters)
y= mx + b
Slope = 20

The amount of water increases 1 liter for every 20 minutes.

The amount of water increases 20 liters for each minute.

There are initially 20 liters in the tank when Roger start

Answer 1

In the context of the linear equation and the points given (3, 90) and (6, 150), the slope of 20 indicates that for every 1 unit increase in \( x \) (which represents time in minutes), the \( y \) value (which represents the amount of water in liters) increases by 20 liters.

To clarify this:

• The slope of 20 means that the amount of water increases by 20 liters for each minute.
• This means that if you observe the situation over a period of time, for every minute that passes, the amount of water in the tank increases by 20 liters.

Therefore, the correct interpretation is: The amount of water increases 20 liters for each minute.