Answer:
The average rate of change in section 2 is 25 times larger than the average rate of change in section 1.
Step-by-step explanation:
Recall that the average rate of change of a function in an interval [a,b] (section of the number line) is defined as:
Rate of change =
Therefore:
1) First interval: evaluating the rate of change from x=0, to x=1 (interval [0, 1]) it becomes
Rate of change =
2) Second interval: we now evaluate the rate of change from x=2 to x=3 (interval [2, 3]), so it becomes
Therefore, the rate of change in the second interval is much larger than the rate of change in the first one. The second rate of change is in fact 100/4 = 25 times larger than the first rate of change. this is due to the fact that the function is an exponential function and not a linear function (where the rate of change is constant)
Answer:
See below
Step-by-step explanation:
Not sure what you are asking....do you want to know what y is when x = -2 and the equation = 6 ?
3 xy^2 + 4x = 6 or is that 3 xy^(-2) + 4x = 6
Could use some serious editing of your question if you are able ....
If y varies directly with x means that there is going to be a constant of proportionality between them in the form
use the data of y=6 when x=18 to find the constant of proportionality
use k to find the value of y when x=12
Answer:
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Step-by-step explanation:
X + Y = 50. Subtract the first equation (X + Y = 50) from this one: Y = 33. Thus Phil has 33 dimes, and 17 nickels.