Alyssa buys mobile games via an app store on her phone. The relationship between the number of games downloaded, x, and the total cost in dollars of the downloads, y, is represented by the graph below.

Two points, A and B, are labeled. Which statement about the graph is true?
0
Games Downloaded
Total Cost(in dollars)
x
y
0
Games Downloaded
Total Cost(in dollars)
A
B
Answer
Multiple Choice Answers
Point B means that the unit rate is $8.00 per game
Point A means that the unit rate is $32.00 per game
Point A means that the unit rate is 4 games per dollar
Point B means that the unit rate is 8 games per dollar

1 answer

To determine which statement about the graph is true, we need to analyze the relationship between the number of games downloaded (x) and the total cost (y), focusing on points A and B.

Unit Rate Definition: The unit rate is calculated by taking the total cost (y) and dividing it by the number of games downloaded (x) in order to find the cost per game.

  1. Point A: You need to look at the coordinates of point A to find the total cost and the number of games downloaded. Let's say it is \( (x_a, y_a) \).

    • If \( y_a \) is the total cost at \( x_a \) games, the unit rate would be \( \frac{y_a}{x_a} \).
  2. Point B: Similarly, look at the coordinates of point B, which is \( (x_b, y_b) \).

    • The unit rate is \( \frac{y_b}{x_b} \).

Assuming you have the values for point A and point B, you would perform the calculations as mentioned.

Without the actual graph or values, it is difficult to definitively answer which option is true; however, you can use the following approach once you have that data:

  • For Point B, if the total cost (y) is $8 for 1 game (x), then the unit rate is $8 per game, which supports option: "Point B means that the unit rate is $8.00 per game."
  • For Point A, if the total cost is $32 for 1 game, then the unit rate is $32 per game, supporting option: "Point A means that the unit rate is $32.00 per game."
  • If Point A showed a cost of $8 for 2 games, the unit rate would be at $4 per game, which supports option: "Point A means that the unit rate is 4 games per dollar."
  • Lastly, if Point B shows a cost of $8 for 64 games, the rate would be 8 games per dollar, supporting option: "Point B means that the unit rate is 8 games per dollar."

Review the values at points A and B on your graph to confirm which of these statements is correct based on the specific coordinates. If you can provide those values, I can help you analyze further!