Tom is going to the fair in town and wants to eat lunch. A hot dog costs 2$ and a cheeseburger costs 3$.write an equation that represents the possible combinations of how many of each he can buy for 10$

Let's define the variables:

x = number of hot dogs he buys

y = number of cheeseburgers he buys.

Each hot dog costs $2, then the price of x hotdogs is:

x*$2

Each cheeseburger costs $3, then the price of y cheeseburgers is:

y*$3

The total price is:

x*$2 + y*$3

And we want to find an equation to see how much he can buy for exactly $10, then we have:

x*$2 + y*$3 = $10

Or, if he can use $10 or less than $10, the inequality would be:

$0 ≤ x*$2 + y*$3 ≤ $10

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