The number of different types of drinks that a barista makes in one week is related to the cost of the drink. a collection of data on the cost of a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of the drink, in dollars, and y represents the number of drinks made at each cost.

x y

1.85 97

2.10 84

2.45 66

3.25 70

3.50 65

3.65 58

4.15 51

4.45 40

4.70 44

5.10 27

using a residual plot, determine if the following model is a good fit for the data.

a.

yes. the model is a good fit because the residual plot does not have a random pattern.

b.

no. the model is not a good fit because the residual plot has a random pattern.

c.

no. the model is not a good fit because the residual plot does not have a random pattern.

d.

yes. the model is a good fit because the residual plot has a random pattern.