The linear equation to model the situation is f(x) = -1/4x + 12
Complete question
Write a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.
How to determine the linear equation?
The given parameters are:
- Length = 12 inches
- Rate = 1/4 inch per hour
The above means that:
- Y-intercept (c) = 12
- Slope (m) = -1/4
A linear equation is represented as:
f(x) = mx + c
Where f(x) represents the function and x represents the number of hours.
So, we have:
f(x) = -1/4x + 12
Hence, the linear equation to model the scenario is f(x) = -1/4x + 12
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