Question

abigail, a florist, is assembling bouquets of roses to sell at her flower shop. the number of bouquets she can assemble depends on how many roses are in her shop.

b = the number of bouquets abigail can assemble
r = the number of roses in the flower shop

which of the variables is independent and which is dependent?

b is the independent variable and r is the dependent variable

r is the independent variable and b is the dependent variable

Explanation:

To determine independent and dependent variables, we analyze the relationship: the number of bouquets (\(b\)) Abigail can assemble depends on the number of roses (\(r\)) in the shop. An independent variable is the one that is not dependent on another (here, \(r\) is the "cause" as the number of roses exists first), and the dependent variable is the one that depends on the independent variable (here, \(b\) depends on \(r\) since more roses allow more bouquets). So \(r\) is independent, \(b\) is dependent.

Answer:

\(r\) is the independent variable and \(b\) is the dependent variable