To determine the change in Mrs. Cheng's account for a year of gym membership, we first need to understand the monthly deduction and then calculate the total deduction for the year.
1. Monthly Deduction: Mrs. Cheng has [tex]$18 deducted from her account each month for her gym membership.
2. Months in a Year: There are 12 months in a year.
3. Annual Deduction Calculation:
- To find the total deduction for the entire year, multiply the monthly deduction by the number of months in a year.
- Therefore, the yearly deduction can be calculated as:
\[
18 \, \text{dollars/month} \times 12 \, \text{months/year} = 216 \, \text{dollars/year}
\]
4. Representing the Change in Account:
- Since this amount is being deducted, the change in the account balance for the year is negative.
- Thus, the change in her account is:
\[
-216 \, \text{dollars}
\]
Hence, the integer that represents the change in Mrs. Cheng's account for a year of gym membership is \(-\$[/tex]216\).
The correct answer is:
[tex]\[
\boxed{-\$216}
\][/tex]
