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Which selection describes the relationship?

Which selection describes the relationship?-example-1
User Lizzi
by
8.5k points

2 Answers

3 votes

Answer:

The correct answer option is decreasing and linear.

Explanation:

We are given a set of corresponding values for x and y and we are to determine whether which of the given answer options describe the relationship.

We can find the slope using these points and compare the values we get:


m_1=(-13-(-8))/(4-3) =-5


m_2=(-8-(-3))/(3-2) =-5


m_3=(-3-2)/(2-1) =-5

The slope is constant and negative. Therefore, the correct answer option is decreasing and linear.

User Ekstrakt
by
7.1k points
2 votes

Answer:

The correct option is 3.

Explanation:

From the given table it is noticed that function is passing through the points (1,2), (2,-3), (3,-8) and (4,-13).

The slope of the function on first two point (1,2) and (2,-3) is,


m_1=(-3-2)/(2-1)=(-5)/(1)=-5

The slope of the function on first two point (2,-3) and (3,-8) is,


m_2=(-8-(-3))/(3-1)=(-5)/(1)=-5

The slope of the function on last two point (3,-8) and (4,-13) is,


m_3=(-13+8)/(4-3)=(-5)/(1)=-5

The slope of function is same form all points.

Since the slope or rate of change is constant and negative, therefore the function is decreasing and linear. Option 3 is correct.

User Dwhitz
by
7.8k points

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