Is the relationship shown in the table proportional? If so, what is the ratio of dollars to months? Months 2 3 5 8 Dollars 100 150 250 400. proportional; $150 per month proportional; $100 per month proportional; $50 per month not proportional
The relationship shown in the table is proportional. To find the ratio of dollars to months, we can choose any two values from the table and divide the dollars by the months. Let's use the first and second rows:
Ratio = Dollars/Months
Ratio = $100/2 = $50/month
Now we can check if this ratio holds true for the other rows as well:
Ratio = $150/3 = $50/month
Ratio = $250/5 = $50/month
Ratio = $400/8 = $50/month
Since the ratio is the same for all rows, we can conclude that the relationship shown in the table is proportional, and the ratio of dollars to months is $50/month.
To determine if the relationship shown in the table is proportional, we need to check if the ratio between dollars and months remains the same.
Let's calculate the ratio for each pair of months and dollars:
For Month 2: 100 dollars ÷ 2 months = 50 dollars/month
For Month 3: 150 dollars ÷ 3 months = 50 dollars/month
For Month 5: 250 dollars ÷ 5 months = 50 dollars/month
For Month 8: 400 dollars ÷ 8 months = 50 dollars/month
Since the ratio of dollars to months remains constant at 50 dollars/month, we can conclude that the relationship shown in the table is proportional, and the ratio of dollars to months is $50 per month.
To determine if the relationship shown in the table is proportional, we need to check if there is a constant ratio between dollars and months.
We can calculate the ratio by dividing the number of dollars by the number of months for each pair of data points.
For the given data:
- Between months 2 and 3, the ratio is 150/2 = 75.
- Between months 3 and 5, the ratio is 250/3 ≈ 83.33.
- Between months 5 and 8, the ratio is 400/5 = 80.
Since the ratios are not the same for all pairs of data points, we conclude that the relationship shown in the table is not proportional.
Therefore, the correct answer is: not proportional.