Bonnie and Bobby are saving money for a vacation. Each friend starts with an amount and also saves a specific amount each week.

Question

Bonnie created a table to show the total she has saved at the end of each week..

Weeks 0 1 2 3 4 5 6 7 8
Amount saved 12 16 20 24 28 32 36 40 44


Bobby came up with the following equation to show the total, y, he has saved at the end of each week, x.

y = 12x + 4



Compare the rate at which each friend saves money.



Select the correct answer from the drop-down menu to complete the statement.

The rate at which Bobby is adding to his savings each week is $
Choose...
more than the rate at which Bonnie is adding to her savings each week.

Answer 1

To determine the rate at which each friend is saving money, we can analyze Bonnie's savings from her table and Bobby's equation.

From Bonnie's table:

• Bonnie starts with $12 (at week 0) and saves $4 each week (e.g., 12 to 16 is an increase of $4, and so on).

From Bobby's equation:

• The equation Bobby uses is \(y = 12x + 4\). Here, \(12x\) indicates that he saves $12 each week plus a starting amount of $4.

Now, we can identify the rate of savings:

• Bonnie's weekly savings rate is $4.
• Bobby's weekly savings rate is $12.

Now, we can compare their rates:

• Bobby saves $12 each week, which is more than Bonnie's savings rate of $4.

Thus, we can complete the statement as follows:

The rate at which Bobby is adding to his savings each week is $12 more than the rate at which Bonnie is adding to her savings each week.