In July, the paleontologist found 368 fossils. There are 31 days in July. So 368/31 = 11.87 fossils per day. That's the PROPORTIONALITY COEFFICIENT, which means, if you write an equation where y equals the total number of fossils found in a month, then
y = 11.87x where x is the number of days digging.
In August, she found 14 fossils per day. That's MORE than the month before. So, the equation for August becomes
y = 14x
August also has 31 days, so we expect she will find
Yes, it is proportional because the number of fossils found and the number of days digging are directly related and proportional, that is to say, the more days she digs the more fossils she finds.
Mar 19th, 2015
Hold on a moment. After reading the question in the problem you wrote I want to change my answer. It asks if the number of fossils found in JULY and AUGUST, both months together, is proportional to the number of days in August ALONE. Then the answer is no, because the fossils found in July took 31 days, and the number of fossils in August took 31 days, for a total of 62 days.