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Question

A coordinate plane's x-axis ranges from 0 to 5 by 1-unit increments and its y-axis ranges from 0 to 125 by 25-unit increments. The x-axis is labeled 'Time (hours)' with hour units and the y-axis is labeled 'Cost (dollars)' with dollar units.
points starting at 25, 50(clear dot moving to the right to a black dot) 75(clear dot moving to the right to a black dot
A musical band graphed their performance fees. How much does the band charge to perform for 2 1/2
hours?

(1 point)
The band charges $
to perform for 212
hours.
Remaining Attempts : 3
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Answer 1

To determine how much the band charges to perform for 2 1/2 hours, we need to analyze the points provided on the graph.

From the described points, it seems that the performance fee increases with time. You mentioned a starting point at (0, 25) and moving to (1, 50), followed by a point at (2, 75). It indicates that the fees are likely to increase linearly.

Using that information, we can identify that the band’s charges are:

• For 1 hour: $50
• For 2 hours: $75

Since the band appears to be charging at a steady rate, we can find the fee for 2 1/2 hours by looking at the increments. The difference between 1 hour and 2 hours is $25, over the span of 1 hour. Therefore, from 1 hour to 2 hours (25 to 75), we can deduce that:

• From 1 to 1.5 hours (50 to 62.5) is an increase of $12.5.
• Thus, at 2.5 hours (adding another 12.5 dollars to the cost of 2 hours), that will give us:

\[ 75 + 12.5 = 87.5 \]

So the band charges approximately $87.50 to perform for 2 1/2 hours.