Final answer:
The correct equation representing the relationship between the amount spent on grapes and bananas with a $15 budget is 2.39G + 0.59B = 15.
Step-by-step explanation:
To determine the equation that represents the relationship between the amounts spent on grapes and bananas within a budget of $15 we look at the cost per pound of each and create an equation that accounts for the total amount spent.
Since grapes cost $2.39 per pound and bananas cost $0.59 per pound, we multiply the number of pounds of grapes (G) by 2.39 and the number of pounds of bananas (B) by 0.59. Adding these together should equal the total budget of $15. Therefore, the correct equation is '2.39G + 0.59B = 15', which corresponds to option a).