Question

If a temperature increases by (2x + 1)ºC from the original x, in x + 5 seconds, then the average rate of change is (x - 3) C/s.

Answer 1

Answer:

x=4 or B

Explanation:

It says that the increase in temperature is (2x+1) and that is within (x+5) seconds. Therefore, (2x+1)/(x+5)=(x-3). X then equals 4, or -4. Therefore, the answer is 4, or B.

Answer 2

A possible value of x = B)4

Further explanation

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

+, -,:, x

 

The Average Rate of Change of a function shows the comparison between 2 objects that change

If we use the notation function, the Average rate of Change of a function from a to b can be formulated as:

$\large {\boxed {\boxed {\bold {ROC = \frac {f (a) -f (b)} {a-b}}}}$

ROC = rate of change

a temperature increases by (2x + 1) ºC from the original x, in x + 5 seconds, then the average rate of change is (x - 3) C / s.

There are 2 functions that change, temperature and time

If we change above statement to algebraic form, it becomes

$\rm ROC=\dfrac{\Delta temperature}{\Delta time}\\\\x-3=\dfrac{2x+1}{x+5}\\\\(x-3)(x+5)=2x+1\\\\x^2+2x-15=2x+1\Rightarrow combine\:like\:terms\\\\x^2+2x-2x-15-1=0\\\\x^2-16=0\\\\(x+4)(x-4)=0\\\\x=4,x=-4\Rightarrow use\:positive\:value\:x=4$

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