The number of miles driven varies directly with the number of hours in the car. Billy drives 171 miles in 3 hours, so he could d
2 answers:
Remember that direct variation means that you have a relationship of the form
In this case it's a special equation, namely distance=rate*time. So first we have to find the rate given the information in the problem:
Now we know that the rate is constant since Billy's distance varies directly with time. The next step is to find distance given a different amount time:
You can finish that one off!
In this case it's a special equation, namely distance=rate*time. So first we have to find the rate given the information in the problem:
Now we know that the rate is constant since Billy's distance varies directly with time. The next step is to find distance given a different amount time:
You can finish that one off!
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now, f(0) = 0, and f(-8) is an imaginary value or no real value.
now, f(-10) will also give us an imaginary value
and f(1) = 4
so, doing a first-derivative test on 0, is imaginary to the left and positive on the right, and before and after 1, is positive as well, so f(x) is going up on those intervals.
however, f(0) is 0 and f(1) is higher up, so the absolute maximum will have to be f(1), and we can use f(0) as a minimum, and since it's the only one, the absolute minimum.
the other two, the endpoint of -10 and the critical point of -8, do not yield any values for f(x).