Final answer:
The expression to show how much Adam would spend on x friends when buying coffee for $4 a cup and cupcakes for $2 each is 6x, representing the combined total for coffee and cupcakes for x friends.
Step-by-step explanation:
To calculate the total amount Adam would spend on x friends for coffee and cupcakes, we can create a mathematical expression. Since coffee costs $4 per cup and cupcakes cost $2 each, we need to multiply the number of friends by the cost of each item and then sum those products.
The expression will be the sum of the cost for coffee and the cost for cupcakes for x friends:
Total cost = (Cost of one cup of coffee × the number of friends) + (Cost of one cupcake × the number of friends)
Therefore, the expression will be:
Total cost = (4 × x) + (2 × x)
Which simplifies to:
Total cost = x(4 + 2)
Finally:
Total cost = 6x
This expression represents the total amount Adam would spend for x friends on coffee and cupcakes combined.