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In an oven, a baking cake rises from a height of 0.5 inches to 3 inches at a constant rate of 0.25 inches per minute. What type of function best models the relationship between the cake’s height and time?

Question

In an oven, a baking cake rises from a height of 0.5 inches to 3 inches at a constant rate of 0.25 inches per minute. What type of function best models the relationship between the cake’s height and time?

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Solution

The relationship between the cake's height and time can be best modeled by a linear function. This is because the cake's height increases at a constant rate over time. In this case, the rate of change (slope) is 0.25 inches per minute. This constant rate of change is a characteristic of linear functions.

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