Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.

(a) and (f)

Step-by-step explanation:

Given

See attachment for table and options

First, we calculate the slope of the table

Using:

So, we have:

The equation is then calculated using:

This gives:

So, we have:

--- The given equation

and

--- The equation of the table

An equation is represented as:

Where:

m = slope or rate of change

b = y intercept

So, for the given equation:

Rate of change = 5

y intercept = 12

For the table:

Rate of change = 12

y intercept = 5

In conclusion:

(a) has the greater rate of change:

and

(f) has the greater y intercept

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step-by-step explanation:

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good luck on your studies! : )

david edward.