Question

You want to have a barbecue where you want to serve chicken and hamburgers. chicken costs $1.29 per pound and hamburger costs $3.49 per pound. your budget for meat for the barbecue is $100. define variables and write an equation that relates the amount of chicken and the amount of hamburger you can buy with your $100.

Answer 1

To relate the amount of chicken and hamburger that can be bought with a $100 budget, use the equation 1.29x + 3.49y <= 100, where x is the amount of chicken and y is the amount of hamburger.

Step-by-step explanation:

To solve this problem, we need to define variables to represent the amount of chicken and the amount of hamburger that can be bought within the budget. Let's say x represents the amount of chicken in pounds and y represents the amount of hamburger in pounds. The cost of chicken is $1.29 per pound, so the cost of chicken in dollars can be represented as 1.29x. Similarly, the cost of hamburger is $3.49 per pound, so the cost of hamburger in dollars can be represented as 3.49y. The total cost of meat cannot exceed the budget of $100, so the equation is:

1.29x + 3.49y <= 100

This equation relates the amount of chicken and the amount of hamburger that can be bought with the given budget of $100.