The graph shows the tip amount that 14 different customers left, based on the their bill. A trend line has been drawn for the data. The equation for the line is: y = 0.14x + 2.5. Which BEST interprets the slope of the linear model?

Question

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Responses
A A $1 increase in the bill is associated with a $2.50 increase in tip amount.A $1 increase in the bill is associated with a $2.50 increase in tip amount.
B A $2.50 increase in the bill is associated with a $1 increase in tip amount.A $2.50 increase in the bill is associated with a $1 increase in tip amount.
C A $0.14 increase in the bill is associated with a $1 increase in tip amount.A $0.14 increase in the bill is associated with a $1 increase in tip amount.
D A $1 increase in the bill is associated with a $0.14 increase in tip amount.A $1 increase in the bill is associated with a $0.14 increase in tip amount.

Answer 1

The equation of the trend line is given as \( y = 0.14x + 2.5 \), where \( y \) represents the tip amount and \( x \) represents the bill amount.

The slope of the line is 0.14, which indicates the change in the tip amount for each unit increase in the bill amount. Specifically, it means that for every $1 increase in the bill (x), the tip amount (y) increases by $0.14.

Therefore, the best interpretation of the slope is:

D: A $1 increase in the bill is associated with a $0.14 increase in tip amount.