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

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

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
`(4)/(3), (5)/(4), (-2)/(1),(7)/(4), (6)/(5), (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:

`(4)/(3)=(4* 20)/(3* 20)= (80)/(60)`

Similarly we will equate all the fractions.

So the slope are
`(80)/(60), (75)/(60), (-120)/(60),(105)/(60), (72)/(60), (96)/(60)`

In descending order the numbers are:

`(105)/(60),(96)/(60), (80)/(60), (75)/(60),(72)/(60),(-120)/(60)`

According to the option the right choice are as follows:

`D>F>A>B>E>C`