Final answer:
To find the price of jeans at stores A and B, a system of equations based on the budget constraint should be set up. Without exact quantities and budget, we cannot solve for the prices, but the relationship between budget and quantity can be expressed as a straight line equation.
Step-by-step explanation:
Finding the Price for 1 Pair of Jeans
To find the price for 1 pair of jeans that Billy bought at store A and store B, we must set up a system of equations based on the budget constraint equation provided. For Alphonso's scenario, the budget constraint equation is detailed as follows:
Budget = P1 × Q1 + P2 × Q2, where P1 and P2 are the prices of two different items (like burgers and bus tickets), Q1 and Q2 are the quantities of these items, and Budget is the total amount to be spent.
For Billy, assuming the quantities of jeans purchased at each store are Qa and Qb, and the prices at each store are Pa and Pb, the equation would be Budget = Pa × Qa + Pb × Qb. If additional information were given such as the budget and the number of jeans bought at each store, we could solve for Pa and Pb.
Without knowing the exact quantities and budget for Billy's case, we cannot solve for the exact prices. However, the algebraic equation to represent such a scenario would be in the form of a straight line equation, y = b + mx, where m is the slope representing the change in budget with respect to the quantity of jeans, and b is the intercept representing the price.