Final answer:
The expression representing the total amount paid including a 20% tip is 'm + 0.2m', where 'm' is the original bill amount.
Step-by-step explanation:
The question seeks to determine the expression that represents the total amount a group of friends will pay after including a 20% tip on their restaurant bill. To calculate this, one would take the original bill amount (represented by 'm') and add a 20% tip to it. The tip can be calculated by multiplying the bill by 0.2 (which is the decimal form of 20%).So, if the original bill is 'm', then the tip would be calculated as '0.2m'. To find the total amount paid, you add the original bill 'm' to the calculated tip '0.2m'. Therefore, the expression that represents the total amount they'll pay including the tip is 'm + 0.2m'.For example, if the cost of the meal was $72 and the tip is 18%, you would calculate the tip as $72 * 0.18, which equals $12.96. Adding this to the original bill, the total cost would be $72 + $12.96, which equals $84.96.