Delilah and Amara are both saving money for their vacation. Delilah plans to deposit $17.60 per week into her bank account which currently has a balance of −$308. Amara’s bank
account is also overdrawn and has a balance of −$80. Amara plans to deposit $8.10 a
week into her account. How many weeks ( ) w must pass for both bank accounts to have the
same balance?
a. Analyze the given information. Write the general structure of the equation.

b. Formulate a plan. Write the two variable expressions and define the given variable. Then,
write the equation.
Variable definition:
Left-side expression:
Right-side expression:
Write the equation:
c. Determine a solution. Solve the equation.
Write the solution in a complete sentence with appropriate units.

d. Justify the solution. Check the solution using substitution.
e. Evaluate the reasonableness of the solution and the problem-solving process.
Is the solution reasonable?
Why or why not?
Is the process effective?
Why or why not?