Chapter 4.3, Problem 32E

(a)

To determine

To find: if any student paid a greater registration fees.

Answer to Problem 32E

One of the students paid a greater registration fees.

Explanation of Solution

Calculation:

Consider the graph below:

  

The objective is to find if any student paid a greater registration fees.

The initial payment for student A is below $\$75$ . This is due to the difference in the amount paid as registration fees.

This implies, the registration fees of student B are greater than student A.

Therefore, one of the students paid a greater registration fees.

Conclusion:

Therefore, one of the students paid a greater registration fees.

(b)

To determine

To find: if any student paid greater monthly fee.

Answer to Problem 32E

None of the students paid greater monthly fees.

Explanation of Solution

Calculation:

The objective is to find if any student paid greater monthly fee.

Since the slopes, that is, the rate of change is equal, therefore, none of the students paid greater monthly fees.

This is possible because the two lines are said to be parallel.

Hence, none of the students paid greater monthly fees.

Conclusion:

Hence, none of the students paid greater monthly fees.