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Question
graph the water bill expense for the year using a line graph. the expenses are (1, 25), (2, 25), (3, 29), (4, 20), (5, 34), (6, 40), (7, 38), (8, 33), (9, 35), (10, 31), (11, 28), and (12, 25). the x - coordinate of each point on the line graph represents a month in the year and each y - coordinate represents the water bill expense. for example, (1, 25) represents a water bill expense of $25 for the month of january. which statement about the monthly water bill expense is true?
Step1: Analyze the given data points
The data points are (1, 25), (2, 25), (3, 29), (4, 20), (5, 34), (6, 40), (7, 38), (8, 33), (9, 35), (10, 31), (11, 28), (12, 25).
Step2: Check each statement
- For the statement "The cost of the water bill increased every month": The cost decreased from month 3 to month 4 (from 29 to 20), so this is false.
- For the statement "The water - bill expense increased between April and July but decreased after July": In April (x = 4, y = 20), May (x = 5, y = 34), June (x = 6, y = 40), July (x = 7, y = 38), the cost increased from April to June and then decreased from June to July. After July, in August (x = 8, y = 33), the cost continued to decrease. This statement is true.
- For the statement "The cost of the water bill decreased every month": The cost increased from month 4 to month 5 (from 20 to 34), so this is false.
- For the statement "The water - bill expense increased between April and June, but decreased between June and July": While it is true that the cost increased between April and June and decreased between June and July, the full - scope statement about the trend after July is not considered. The more comprehensive statement "The water - bill expense increased between April and July but decreased after July" is a better description.
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The water bill expense increased between April and July but decreased after July.