1. James wants to fill a tank with water. He already has 4 gallons in the 50 gallon tank. Using the equation y=2x+4, where y is
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Given that the function is
We need to determine the average rate of change over the interval
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function , we have;
Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function , we have;
Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,
where and
Thus, we have;
Thus, the average rate of change over the interval is -1.