Question

A community center charges a dollars for a summer activity if individuals are signed up before the day of the activity. Individuals who sign up the day of the activity are charged a fee of 020 dollars. Which expression also represents the fee for signing up the day of the activity, and what does it mean about the fee? A. 1.2x; individuals signing up the day of the activity get charged 20% more B. 0.8x; individuals signing up the day of the activity get charged 20% more C. 1.2x; individuals signing up the day of the activity get charged 20% less D. 0.8x; individuals signing up the day of the activity get charged 20% less

Answer 1

The correct expression representing the day-of sign-up fee is 1.2a, indicating that individuals are charged 20% more than the standard fee 'a'.

Step-by-step explanation:

If the community center normally charges a dollars for signing up before the day of the activity, and individuals who sign up on the day of the activity are charged 20% more, we are looking for an expression that represents a 20% increase on the original fee a. A 20% increase is the same as multiplying the original fee by 1.20, since 100% (the original fee) plus an additional 20% (the increase) equals 120%, or 1.20 as a decimal factor.

Therefore, the correct expression to represent the fee for signing up the day of the activity is 1.2a. This means that individuals are charged 20% more than the original fee for late sign-up. The incorrect options either suggest the wrong rate (option B and D) or incorrectly claim a discount (option C).