Question

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Answer 1

Answer:

Table c

Step-by-step explanation:

Required:

Which of the 4 has the greatest rate of change

For Graph (A):

We start by picking any two equivalent points on the table:

$(x_1,y_1) = (0,1)$

$(x_2,y_2) = (2,5)$

Next, we determine the slope, m:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{5-1}{2-0}$

$m = \frac{4}{2}$

$m = 2$

This represents the rate of change:

For (B): $y = 3x + 7$

An equation is of the form:

$y = mx + b$

Where

m represents slope or rate of change:

By comparison:

$m = 3$

For table (C):

We start by picking any two equivalent points on the table:

$(x_1,y_1) = (1,7)$

$(x_2,y_2) = (2,12)$

Next, we determine the slope, m:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{12-7}{2-1}$

$m = \frac{5}{1}$

$m = 5$

This represents the rate of change:

For (D):

The $1.00 paid every week represents the rate of change.

So:

$m = 1$

For A - D:

The rate of change are:

$A = 2$

$B = 3$

$C = 5$

$D = 1$

5 is the greatest.

Hence, (c) has the greatest rate of change