Answer:
In descending order the function are represented as [tex]D>F>A>B>E>C[/tex]
Step-by-step explanation:
Whether it is increasing or is the larger or smaller number it all depends on its slope.
Equation of line [tex]y=m(x)+c[/tex],and [tex]m[/tex] is the slope.
So we will work with the slopes of each equations and arrange them in descending order.[Greater to larger number sequence]
Slopes are [tex]\frac{4}{3}, \frac{5}{4}, \frac{-2}{1},\frac{7}{4}, \frac{6}{5}, \frac{8}{5}[/tex]
We will equate the denominator by taking LCD of it then multiply numerator and denominator with a fix number which can bring all the denominator same.
LCD of the denominator [tex](1,3,4,5)=60[/tex]
Example:
[tex]\frac{4}{3}=\frac{4\times 20}{3\times 20}= \frac{80}{60}[/tex]
Similarly we will equate all the fractions.
So the slope are [tex]\frac{80}{60}, \frac{75}{60}, \frac{-120}{60},\frac{105}{60}, \frac{72}{60}, \frac{96}{60}[/tex]
In descending order the numbers are:
[tex]\frac{105}{60},\frac{96}{60}, \frac{80}{60}, \frac{75}{60},\frac{72}{60},\frac{-120}{60}[/tex]
According to the option the right choice are as follows:
[tex]D>F>A>B>E>C[/tex]
