More on budget constraints: This is a continuation .Another way to find a linear formula giving the number of pounds g of grapes that you can buy in terms of a, the number of pounds of apples, is to...

More on budget constraints: This is a continuation .Another way to find a linear formula giving the number of pounds g of grapes that you can buy in terms of a, the number of pounds of apples, is to write the budget constraint as an equation and solve it for g. ➞

a. If you buy 5 pounds of apples, then of course you spend 0.50 × 5 = 2.50 dollars on apples. In general, if you buy a pounds of apples, how much money do you spend on apples? Your answer should be an expression involving a.

b. Write an expression involving g to represent how much money you spend on grapes if you buy g pounds of grapes.

c. Use your answers to parts a and b to write an equation expressing the budget constraint of $5 in terms of a and g.

d. Solve the equation you found in part c for g, and thus find a formula expressing g as a linear function of a. Compare this with your answer to part .