Final answer:
To determine if the landscaper's charges are proportional to hours worked, the consistent rate of $49 per hour (from $245 for 5 hours) was multiplied by the number of hours in each scenario. All combinations given matched the proportional rate, supporting the landscaper's claim.
Step-by-step explanation:
The question involves determining if the relationship between the number of hours worked and the amount of money charged by a landscaper is proportional. To verify this, we need to check if the ratio of hours worked to money charged is consistent across different scenarios. Given that the landscaper charges $245 for 5 hours of work, the rate is $245/5 hours = $49 per hour.
- 3 hours should then be charged at 3 hours × $49/hour = $147
- 8 hours should be charged at 8 hours × $49/hour = $392
- 10 hours should be charged at 10 hours × $49/hour = $490
- 12 hours should be charged at 12 hours × $49/hour = $588
All of these combinations support the claim of proportional relationship since the money charged is the product of the number of hours worked and the consistent rate of $49 per hour.