The amount paid for different weights of oranges at a farmer’s market are shown below. oranges (lb) price ($) 2 3 3 4.50 5 7.50 ? 12 (a) is the relationship between the price and the weight of the oranges proportional? (this is asking if there is a ratio relationship.) use the first three rows of data to answer this question. show your work and explain. (b) how many pounds of oranges cost $12? show your work.

To know if there is a relation between the price and weights of oranges. we must calculate the unit price for each given set of data.
for the first data 2 lb, $ 3
so the unit price is $3 / 2 lb = $ 1.5 / lb

for the second data 3 lb, $ 4.50
the unit price = $ 4.50 / 3 lb = $ 1.5 / lb

third data, 5 lb , $7.50
the unit price = $ 7.50 / 5 lb = $ 1.5 / lb. so they have a linear relationship.

lb oranges = $ 12 ( 1 lb / $ 1.50) = 8 lb of oranges cost $ 12