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

1 answer

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.