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The water level in Kurt's pond was low, so he started filling it with a hose. The water level, in inches, after t minutes can be modeled by the expression 0.4t2+3t+14.What does the number 14 represent?

Question

The water level in Kurt's pond was low, so he started filling it with a hose. The water level, in inches, after t minutes can be modeled by the expression 0.4t2+3t+14.What does the number 14 represent?

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Solution

The number 14 in the expression represents the initial water level in Kurt's pond, in inches, before he started filling it with a hose. This is because when time t = 0 (i.e., before he starts filling the pond), the expression becomes 0.4(0)² + 3(0) + 14, which simplifies to 14. Therefore, the water level was 14 inches when Kurt started filling the pond.

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