Pete's parents realized his allowance proposal isn't realistic. However, Pete still wanted to predict future allowances in case he convinces them to change their minds and they don't put a 16-week limit on their agreement.

Construct a table of values, and use that information to complete this statement:

If Pete didn't spend any of the allowance money, it would take him ______ weeks to earn $10,000.

Pete would need 200 weeks to earn [tex]$10,000 at a weekly allowance of $[/tex]50. This is calculated by dividing the total savings goal by the weekly allowance amount. If Pete saves consistently without spending, he can achieve this target in the stated time frame.

Explanation:

Understanding Allowance and Future Predictions

To help Pete predict how long it would take to save up [tex]$10,000 from his allowance, we first need to establish a reasonable weekly allowance amount. Let’s assume Pete's allowance is $[/tex]50 per week.

Now, we can create a table of values to illustrate the total savings over a certain number of weeks:

WeeksTotal Savings ([tex]$)1502100315042005250630073508400945010500201000402000804000100500020010000

Calculating Total Weeks

To calculate how many weeks it would take him to save $[/tex]10,000, we can set up the equation:

Total Savings = Weekly Allowance × Number of Weeks

We can rearrange this to:

Number of Weeks = Total Savings ÷ Weekly Allowance

Using Pete's target savings:

Number of Weeks = [tex]$10,000 ÷ $[/tex]50 = 200 weeks

Therefore, if Pete didn't spend any of the allowance money, it would take him 200 weeks to earn $10,000.

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