Question

I NEED HELP ASAP First, find the increasing functions. Then, classify each increasing function as having a larger or a smaller unit rate than the function represented in the graph.
witch ones are Larger Unit Rate, Smaller Unit Rate ?

A. y=4/3x-5/3

B. y=5/4x-3

C. y=-2x+17/3

D. y=7/4x-9/4

E. y=6/5x-3/5

F. y=8/5x-7/5

Answer 1

Answer:

In descending order the function are represented as $D>F>A>B>E>C$

Step-by-step explanation:

Whether it is increasing or is the larger or smaller number it all depends on its slope.

Equation of line $y=m(x)+c$,and $m$ 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 $\frac{4}{3}, \frac{5}{4}, \frac{-2}{1},\frac{7}{4}, \frac{6}{5}, \frac{8}{5}$

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 $(1,3,4,5)=60$

Example:

$\frac{4}{3}=\frac{4\times 20}{3\times 20}= \frac{80}{60}$

Similarly we will equate all the fractions.

So the slope are $\frac{80}{60}, \frac{75}{60}, \frac{-120}{60},\frac{105}{60}, \frac{72}{60}, \frac{96}{60}$

In descending order the numbers are:

$\frac{105}{60},\frac{96}{60}, \frac{80}{60}, \frac{75}{60},\frac{72}{60},\frac{-120}{60}$

According to the option the right choice are as follows:

$D>F>A>B>E>C$