Question

PLEASE HELP! 13 PTS

For several months, a restaurant manager collected data on the number of people at a table (p) and the total bill, in dollars (d). She found that there is a positive linear association between p and d that is best modeled by the equation d = 15.7p + 2.0. What statement is true?

a) The model predicts that the average total bill for a table is $15.70.

b) The model predicts that for each additional person at a table, the total bill increases by $15.70.

c) The model predicts that for each additional 2 people at a table, the total bill increases by $15.70.

d)The model predicts that the average bill for any table with 2 people is $15.70.

Answer 1

For this case we have the following linear equation:
d = 15.7p + 2.0
Where,
p: number of people
d: total bill
We note that the slope of the equation is:
m = 15.7 $ / person
Therefore, the amount of the bill increases if the number of people grows.
Answer:
b) The model predicts that for each additional person at a table, the total bill increases by $ 15.70.