Dianelys buys mobile games via an app store on her phone. The relationship between the number of games downloaded, xx, and the total cost in dollars of the downloads, y, is represented by the graph below.
A point (6, comma, 96,9) is labeled below. Which statement about the graph is true?
0
Games Downloaded
Total Cost(in dollars)
x
y
0
Games Downloaded
Total Cost(in dollars)
(6 , 9)
A. The unit rate is 6 games per dollar
B. The unit rate is $9.00 per game
C. The unit rate is $1.50 per game
D.The unit rate is 1.5 games per dollar
B. The unit rate is $9.00 per game
To determine the unit rate from the given point (6, 96.9), we need to find the cost per game.
The unit rate is calculated by dividing the total cost by the number of games downloaded. So, in this case, the unit rate for the cost of the games is:
Unit Rate = Total Cost / Number of Games Downloaded
Substituting the values from the given point:
Unit Rate = 96.9 / 6
Simplifying:
Unit Rate ≈ 16.15
Since the question asks for the unit rate in terms of dollars per game, the correct statement is:
B. The unit rate is $9.00 per game
To determine the unit rate, we need to find the rate of change between the number of games downloaded (x) and the total cost in dollars (y).
In this case, we can look at the given point (6, 96.9), which represents the number of games downloaded (x) and the total cost in dollars (y).
To find the unit rate, we divide the change in y by the change in x. In this case, the change in y is 96.9 - 0 = 96.9, and the change in x is 6 - 0 = 6.
So, the unit rate is (change in y) / (change in x) = 96.9 / 6 = 16.15.
Now, let's look at the answer choices:
A. The unit rate is 6 games per dollar - This is not correct, as the calculated value is 16.15, not 6.
B. The unit rate is $9.00 per game - This is not correct, as the calculated value is 16.15, not 9.
C. The unit rate is $1.50 per game - This is not correct, as the calculated value is 16.15, not 1.50.
D. The unit rate is 1.5 games per dollar - This is not correct, as the calculated value is 16.15, not 1.5.
Therefore, none of the answer choices provided are correct.