To determine which graph represents the cost of \( x \) tissue boxes when each box costs \( \frac{1}{4} \) of a dollar, we can find the relationship between the number of boxes \( x \) and the total cost \( C \).
The total cost \( C \) can be expressed as: \[ C = \frac{1}{4}x \]
This is a linear function where the slope is \( \frac{1}{4} \) and the y-intercept is \( 0 \).
Let's analyze each given point from the graphs (assuming the first number is \( x \) and the second is the total cost \( C \)):
- Y (5, 3): If \( x = 5 \), then \( C = \frac{1}{4} \cdot 5 = 1.25 \) (not \( 3 \)).
- Z (2, 8): If \( x = 2 \), then \( C = \frac{1}{4} \cdot 2 = 0.5 \) (not \( 8 \)).
- W (5, 7): If \( x = 5 \), then \( C = \frac{1}{4} \cdot 5 = 1.25 \) (not \( 7 \)).
- X (5, 3): If \( x = 5 \), then \( C = \frac{1}{4} \cdot 5 = 1.25 \) (not \( 3 \)).
None of the points provided match the calculated cost of \( \frac{1}{4}x \) for \( x = 2 \) or \( x = 5 \).
To confirm the expected costs based on the equation:
- For \( x = 1 \): \( C = \frac{1}{4} \cdot 1 = 0.25 \)
- For \( x = 2 \): \( C = \frac{1}{4} \cdot 2 = 0.5 \)
- For \( x = 3 \): \( C = \frac{1}{4} \cdot 3 = 0.75 \)
- For \( x = 4 \): \( C = \frac{1}{4} \cdot 4 = 1.0 \)
- For \( x = 5 \): \( C = \frac{1}{4} \cdot 5 = 1.25 \)
Based on the information we have, it seems none of the provided points correspond to the cost of tissue boxes.
If you can clarify the price per tissue box or the expected costs from the points, I may be able to assist you further in identifying the correct graph.
3 answers