Question

WILL GIVE BRAINLIEST
This table represents a linear function.

x y
0 5
5 15

This graph represents another function.



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

Answer 1

Given:

One linear function represented by the table.

Another linear function represented by the graph.

To find:

The greater unit rate and greater y-intercept.

Solution:

Formula for slope (unit rate):

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.

$m_1=\dfrac{15-5}{5-0}$

$m_1=\dfrac{10}{5}$

$m_1=2$

So, the unit rate of first function is 2.

From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.

$m_2=\dfrac{0-6}{-4-0}$

$m_2=\dfrac{-6}{-4}$

$m_2=\dfrac{3}{2}$

So, the unit rate of first function is $\dfrac{3}{2}$.

Now,

$2>\dfrac{3}{2}$

$m_1>m_2$

And,

$15>6$

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.

Answer 2

Answer:

The greater unit rate of the two functions is 2.

The greater y-intercept of the two functions is 6.

Step-by-step explanation:

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