some kids are selling lemonade for $1.50 per cup at a high
school baseball game. they spent $14 on all of the items
needed for the lemonade stand (cups, lemonade, table
oth, sign, etc) create a function that would represent
profit based on the number of cups of lemonade

A function that would represent profit based on the number of cups of lemonade is Profit = 1.5n - 14

Solution:

Given, Some kids are selling lemonade for $1.50 per cup at a high school baseball game.  

They spent $14 on all of the items needed for the lemonade stand (cups, lemonade, table oth, sign, etc)

We have to create a function that would represent profit based on the number of cups of lemonade

Now, let the number of cups sold be "n"

Then , we know that, profit = selling price – cost price  

Profit = number of cups sold x price per cup – cost price

Profit = n x $ 1.5 – $ 14  

Profit = 1.5n – 14

Hence, the function is Profit = 1.5n - 14