Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Function A has a rate of change of –5 and Function B has a rate of change of –4.5, so Function A has a greater rate of change. Function A has a rate of change of 5 and Function B has a rate of change of 4.5, so Function A has a greater rate of change. Function A has a rate of change of 5 and Function B has a rate of change of 4.5, so Function B has a greater rate of change. Function A has a rate of change of –5 and Function B has a rate of change of –4.5, so Function B has a greater rate of

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

Function B:

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

Where:

So, we have:

For function B

The general function is:

Where

m is the rate of change

By comparing to

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

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