To determine which graph accurately represents the relationship between the time used on the internet (in hours) and the cost (in dollars), we need to analyze the cost structure you've provided.
The cost is given as $2 per hour, which implies a direct proportional relationship:
- At \( x = 0 \) (0 hours), \( y = 0 \times 2 = 0 \) (cost is $0).
- At \( x = 1 \) (1 hour), \( y = 1 \times 2 = 2 \) (cost is $2).
- At \( x = 2 \) (2 hours), \( y = 2 \times 2 = 4 \) (cost is $4).
- At \( x = 3 \) (3 hours), \( y = 3 \times 2 = 6 \) (cost is $6), and so on.
Now, let's evaluate the provided graph options:
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The first graph shows negative costs, which does not align with the relationship since costs cannot be negative.
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The second graph shows points (0, 0), (2, 1), (4, 2), (6, 3). This suggests a cost of $0.5 per hour instead of $2 per hour, which is incorrect.
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The third graph also displays negative costs, which are not valid.
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The fourth graph shows points (0, 0), (1, 2), (2, 4). This graph represents the cost structure accurately: it goes through expected points for 0, 1, and 2 hours (0, $0), (1, $2), and (2, $4).
Therefore, the correct graph that depicts the relationship accurately is the fourth graph.
11 answers