A Fair Isaacs Corporation (FICO) score is used to determine a person’s creditworthiness. An economist wishes to find a function that relates the interest rate (in percent) of a 36-month auto loan, I, to a person’s FICO score, s. Consider the following data.

(a) Does the relation defined by the set of ordered pairs (s, I) represent a function?

(b) Draw a scatter plot of the data.

(c) Using a graphing utility, find the line of best fit that models the relation between FICO score and interest rate.

(d) Interpret the slope.

(e) Express the relationship found in part (c) using function notation.

(f) If a person has a FICO score of 718, predict the interest rate.

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Credit Score, s Interest Rate (percent), I 18.982 17.967 12.218 8.612 6.680 5.150 545 595 640 675 705 750