Final answer:
The expression that represents the total amount Jack paid in quarters is 0.25(d+13), where d is the number of dimes used.
Step-by-step explanation:
A student asked about the expression that represents the total amount of money Jack paid in quarters, given that he used 13 more quarters than dimes and paid a total of $6.35 for a parking pass. If d represents the number of dimes, then the number of quarters he used would be d + 13. Since each quarter is worth $0.25, we multiply the number of quarters by $0.25 to find the total amount in quarters.
The correct expression for the total amount paid in quarters is therefore 0.25(d+13).
To understand this calculation, it's essential to set up the equation based on the value of each coin and the relationship between the numbers of dimes and quarters used. Since we know the value of a dime is $0.10 and a quarter is $0.25, and that Jack used 13 more quarters than dimes, the equation could be set up and solved for d to confirm the proper expression. For educational purposes, it's vital to ensure students understand the logic behind setting up such equations.