The graph below represents Function R
The equation 3x-1 represents Function S.
Which statement about Functions R and S is true?
A. The rate of change of Function R is less than the rate of change of Function S because 2/3<3.
B. The rate of change of Function R is less than the rate of change of Function S because 2<3
C. The rate of change of Function R is equal to the rate of change of Function S because both are 1
D. The rate of change of Function R is greater than the rate of change of Function S because 1>-1.

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.

the answer is: the length is 5/6 yards.

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step-by-step explanation: