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To answer these and related questions, we can create a model using a linear function.Models such as this one can be extremely useful for analyzing relationships and making predictions based on those relationships.
The rate of change is constant, so we can start with the linear model \(M(t)=mt b\).
Then we can substitute the intercept and slope provided.
To find the x-intercept, we set the output to zero, and solve for the input.
How can we write a linear model to represent her situation?
What would be the x-intercept, and what can she learn from it?