For several months, a shoe store owner collects data on the number of children in a group (c) and the total amount of the purcha
se, in dollars (d). She finds that there is a positive linear association between d and c that is best modeled by the equation d=16.3c+37 . Which statement is true?
a) The model predicts that for each additional child in a group, the total amount of purchase increases by $16.30.
b) The model predicts that for each additional child in a group, the total amount of purchase increases by $37.00.
c) The model predicts that the average total amount of purchase for a group is $37.00.
d) The model predicts that the average total amount of purchase for a group is $16.30.
Since the number of children in a group (c) is multiplied by 16.30 in the model, we can say that the total amount of purchase (d) will increase by a value of $16.30 for each additional child that will be added to the group. Examining the choices, we find one that is similar to this explanation:
ANSWER: A. The model predicts that for each additional child in a group, the total amount of purchase increases by $16.30.