If 250 specialty coffee drinks were sold at the bake sale, what would the average cost per drink be given the equation .25x+250/x?

You do not have an equation. An equation needs an equal sign "=".

Also, the expression makes little sense. It looks like the drinks cost .25 each, with a fixed cost of 250.

However, that would make the total cost .25x + 250
In that case, the average cost per drink would be
(.25x + 250)/x = .25 + 250/x

250/x would be the fixed cost per drink.

Something's not right here.

To find the average cost per drink, we need to determine the total cost of all the drinks and then divide it by the number of drinks sold.

The given equation .25x + 250/x represents the cost of each drink based on the number of drinks, x.

To calculate the total cost, we multiply the cost per drink (.25x + 250/x) by the number of drinks sold (250):

Total cost = (0.25x + 250/x) * 250

Next, we divide the total cost by the number of drinks (250) to find the average cost per drink:

Average cost per drink = (0.25x + 250/x) * 250 / 250

Simplifying the equation:

Average cost per drink = 0.25x + 250/x

Please note that we need to know the value of x (the number of drinks) in order to calculate the average cost per drink.