Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
1 answer:
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Option A: The rate of change of Function R is less than the rate of change of Function S because is true.
Explanation:
The function
The equation for function R can be determined using the slope formula,
The y-intercept is the value of y, when x = 0.
Thus, the y-intercept is .
To determine the slope, let us substitute the coordinates and
.
Because, the points on the straight line have the same slope.
Thus, we have,
Thus, and
Let us substitute these values in the formula , we get,
Hence, the equation of R is
The equation of S is
Comparing the slope of these two equations, we have,
This means that the slope of R is less than the slope of S.
Hence, The rate of change of Function R is less than the rate of change of Function S because
Thus, Option A is true.