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1. Plot the graph of the inequality x < 17/5 + 7/20.

2. In your school district, school is canceled when more than 2.5 inches of snow accumulate on the ground each hour. Currently, snow is accumulating at a rate of 11/4 inches per hour. Select the correct inequality that represents the extra snow accumulation "s" (in inches per hour) needed to cancel school. The answer choices are:
A. 11/5 + s > 2.5
B. 11/5 + s ≥ 2.5
C. 11/5 - s > 2.5
D. 11/5 - s ≥ 2.5

User Astri
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1 Answer

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Final answer:

The inequality x < 3.75 can be graphed by shading the region to the left of 3.75 on a number line. For the snow accumulation scenario, none of the provided inequalities correctly represent the situation if the correct accumulation rate of 11/4 inches is considered, as school cancellation conditions are already met with no extra snow accumulation needed.

Step-by-step explanation:

The student's question can be broken down into two parts. The first is a simple inequality plot, while the second involves interpreting a real-life scenario in terms of inequalities. To plot the graph of the inequality x < 17/5 + 7/20, we first need to calculate the right side of the inequality. Since 17/5 is 3.4 and 7/20 is 0.35, adding them gives us 3.75. So we have x < 3.75. To graph this, you'd draw a number line and shade the region to the left of 3.75, not including the point 3.75 itself.

For the second part regarding snow accumulation, the correct inequality would be A. 11/5 + s > 2.5. Currently, the snow is accumulating at a rate of 11/4 inches per hour, which is the same as 2.75 inches per hour. Therefore, the condition for canceling school is already met, and no extra snow accumulation is needed to reach the cancellation threshold of snowfall higher than 2.5 inches per hour. However, if we assume that the question intended 11/4 inches and not 11/5 inches, we should then correct the provided answer choices accordingly to reflect the actual accumulation rate.

User Jasongonzales
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