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A bank's risk analyst is in charge of offering credit to people with good credit histories. Suppose that Chase Bank is predicting how much debt a person will accrue on a new credit card (in $) as a function of their credit score (a number between 300 and 850, measured in credit score units). A person with a credit score of 400 credit units averages a debt of about $9,000 and a person with a credit score of 700 credit units averages a debt of about $2,500. Calculate the rate of change. Provide a numerical answer (do not use units). Round to the nearest whole number.

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If we try to plot this on a graph, the credit score would be the x variable and the debt would be the y variable. This is because the amount of debt is dependent on the credit score. The slope formula is \(\frac{y2-y1}{x2-x1}\) or \(\frac{2500-9000}{700-400}\). This is equal to \(\frac{-6500}{300}\) or ~ -22. Hope that helps.

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