Question

The greater unit rate of the two functions is . The greater y intercept of the two functions is

Answer 1

the greater unit rate is 2 and the greater y intercept is 6

Explanation:

Answer 2

Part 1) The greater unit rate of the two functions is the linear function of the table

Part 2) The greater y intercept of the two functions is the linear equation of the graph

Explanation:

we know that

The rate of a linear function is equal to the slope

step 1

Find the slope of the linear equation in the table

we have

(0,5) and (5,15)

The slope is equal to

`m=(15-5)/(5-0)=10/5`

To find the unit rate divide by 5 both numerator and denominator

`m=2/1=2`

step 2

Find the slope of the linear equation of the graph

we have

(-4,0) and (0,6)

The slope is equal to

`m=(6-0)/(0+4)=6/4=3/2`

To find the unit rate divide by 2 both numerator and denominator

`m=1.5/1=1.5`

Compare the unit rate of the two linear equations

2 > 1.5

therefore

The greater unit rate of the two functions is the linear function of the table

step 3

Find the y-intercepts of the linear equations

Remember that the y-intercept is the value of y when the value of x is equal to zero

Linear equation of the table

Observing the table

For x=0, y=5

therefore

The y-intercept of the linear equation of the table is the point (0,5)

Linear equation of the graph

Observing the graph

For x=0, y=6

therefore

The y-intercept of the linear equation of the table is the point (0,6)

Compare the y-intercept both functions

6 > 5

therefore

The greater y intercept of the two functions is the linear equation of the graph