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Please help me solve this question will give you braisnlt !

Please help me solve this question will give you braisnlt !-example-1

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Answer:

Table c

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 = (y_2 - y_1)/(x_2 - x_1)


m = (5-1)/(2-0)


m = (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 = (y_2 - y_1)/(x_2 - x_1)


m = (12-7)/(2-1)


m = (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

User Alessandro Lallo
by
7.8k points

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