Saks Fifth Avenue® offered a promotional sale in which customers could receive a gift card. The values of the gift cards are shown in Table 39 for various expenditures.

Let y be the value (in dollars) of a gift card that a customer who spends x dollars will receive.
a. Construct a scatterplot.
b. Find an equation of a model and graph it on the scatterplot. Then describe the shape and the strength of the association.
c. What is the coefficient a of the model = abx? What does it mean in this situation?
d. What is the base b of the model = abx? What does it mean in this situation?
e. Customer A spends $2000, customer B spends $2500, and customer C spends $2999. Use your model to predict the values of the gift cards these customers will receive. Compare your results with the actual gift card values they will receive.

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Table 39 Saks Fifth Avenue Gift Card Values Expenditure Group (dollars) Expenditure Used to Represent Expenditure Group (dollars) 250-499 500-999 000-1999 2000-2999 3000 or more 375 750 1500 2500 3500 Gift Card Value (dollars) 25 50 100 200 450