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zhannawk [14.2K]
3 years ago
10

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 Funct

ion 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
Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Answer:

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:

\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}

Function B:

y = -4.5x + 15

Required

Which has a greater rate of change

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

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

Where:

(x_1,y_1) = (1.5,5)

(x_2,y_2) = (2.5,0)

So, we have:

m = \frac{0-5}{2.5 - 1.5}

m = \frac{-5}{1}

m = -5

For function B

The general function is:

y = mx + b

Where

m is the rate of change

By comparing y = mx + b to y = -4.5x + 15

m = -4.5

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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