Doug wants to buy apples and oranges. he can spend up to $5; apples cost $1 per pound and oranges cost $1.25 per pound. how can doug spend the $5? if the solution to the problem is graphed, it will be an inequality with a line as the border. what does the line represent? heelpp

There are infinite ways to spend the $5

The line represents every solution in which the $5 are completely spent.

Step-by-step explanation:

Let's call

x: pounds of apples bought

y: pounds of oranges bought

Given that apples cost $1 per pound and oranges cost $1.25 per pound, then the cost is:

1*x + 1.25*y

Doug can spend up to $5, so:

x + 1.25*y ≤ 5

Given that there are two variables (x and y) and only one inequality, there are infinite solutions. For example, if he buys 1 pound of apples and spends all his money, we get:

1 + 1.25*y = 5

y = (5-1)/1.25 = 3.2

that means, he can buy 3.2 pounds of oranges.

If the inequality is graphed, the line as a border is the equation:

x + 1.25*y = 5

which represents every solution in which the $5 are completely spent.