Brianna practices the piano the same number of minutes each day. The relationship between the number of days, x, and the total number of minutes she practices, y, is represented by the graph below.
A point (8, comma, 2008,200) is labeled below. Which statement about the graph is true?
0
Number of Days
Total Practice Time (in minutes)
x
y
0
Number of Days
Total Practice Time (in minutes)
(8 , 200)
The unit rate is 8 days per minute
The unit rate is 200 minutes per day
The unit rate is 25 days per minute
The unit rate is 25 minutes per day
The unit rate is 25 minutes per day
To determine the unit rate from the graph, we need to divide the change in y by the change in x.
In this case, the change in y is 2008 - 0 = 2008, and the change in x is 8 - 0 = 8.
Therefore, the unit rate is 2008/8 = 251 minutes per day.
Therefore, the statement "The unit rate is 251 minutes per day" is true.
To determine the unit rate, we need to examine the relationship between the number of days x and the total practice time y.
Looking at the graph, we can see that as the number of days increases, the total practice time also increases. This indicates a positive linear relationship between x and y.
The point labeled (8, 200) on the graph represents the number of days (x) and the total practice time (y). In this case, Brianna practiced for 200 minutes over a period of 8 days.
To find the unit rate, we need to determine how much time she practices per day.
To find the unit rate, we divide the total practice time by the number of days:
Unit rate = Total practice time / Number of days
In this case:
Unit rate = 200 minutes / 8 days
Simplifying:
Unit rate = 25 minutes per day
Therefore, the correct statement about the graph is that the unit rate is 25 minutes per day.