A 500-gallon tank initially contains 400 gallons of fuel oil. A pump is filling the tank at a rate of 5 gallons per minute. a) Write the formula for a linear function of f that models the number of gallons of fuel oil in the tank after x minutes. And write the appropriate domain for f. f(x) = ____ D= { x | ___ x ____} b) Graph the linear function f on the graph, indentify the y-intercept and interpret it. * The y-intercept is ___ and it means _____. Does the x-intercept of the graph of f have any physical meaning in this problem? Explain,
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
A 500-gallon tank initially contains 400 gallons of fuel oil. A pump is filling the tank at a rate of 5 gallons per minute.
a) Write the formula for a linear function of f that models the number of gallons of fuel oil in the tank after x minutes. And write the appropriate domain for f.
f(x) = ____
D= { x | ___ x ____}
b) Graph the linear function f on the graph, indentify the y-intercept and interpret it.
* The y-intercept is ___ and it means _____.
Does the x-intercept of the graph of f have any physical meaning in this problem? Explain,
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