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# Which Table Represents A Linear Function?

The table below explains the bird speed ƒ (χ ) over times in seconds, χ. Which of these two tables represents a linear relationship?

To know whether a table describes a linear relationship, check the rate of change in the entire table.

In the first table, the value of y doesn't increase or decrease from a constant amount in each increase of unit 1 in the value of x. It increases by 4, then reaches 8, then 16, and further.

In the second table, the value of y increases constantly by 6 with each increase of unit 1 in the value of x.

So, here, the first table shows a non-linear function, whereas the second table shows a linear function. In any case, the greater the change rate, the more the value of y changes for every increase in the value of x.

Now, when the point on the graph creates a straight line which is not vertical, its function counts as a linear function. When there is a table in place of the graph, you must always see the rate of change. If it is in the input to change in the output is the similar for each point in the table. So, the table shows a linear function.

Related Question: Which pair of triangles can be proven congruent by sas

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## What is an Acute Scalene Triangle?

An acute scalene triangle is a triangle where each side and angle has a different length and measurement, and all of the angles are less than 90 degrees. This triangle has combination of both an acute triangle and a scalene triangle. Also Read- Which Pair of Triangles can be Proven Congruent by ...

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## Which system of Linear Inequalities has the Point (2, 1) in its Solution Set?

A. y<-x+3 B. y≤1/2x+3 Correct Answer: B Explanation: Since point(2,1) has x = 2, y=1 substitute x=2 into y<-x+3 then we get:   y<-2+3   y<1 ( which does not satisfy the inequality condition on y =1) substitute x=2 into y≤1/2x+3 then we get:   y≤1/2(2)+3 ⇒  y≤1+3 ...

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## Which r–Value Represents the Strongest Negative Correlation?

A. –0.7 B. –0.22 C. 0.38 D. 0.9 Correct Answer: A. -0.7 Explanation: –0.7 is the r-value that indicates the strongest negative connection. The correlation coefficient, or r-value, is a number between –1 and 1. Strong negative correlations are indicated by values closer to –1, strong ...

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## Which is the Graph of f(x) = 100(0.7)x?

Correct Answer: B. As the Function f(x) = 100(0.7)^x  , it can also be written as y = 100(0.7)^x because we know that y=f(x): So put the value of x =0 in the given function we get  y = 100(0.7)^x y = 100(0.7)^0 y = 100(1) y = 100 So (x=0,y=100) is one coordinate on the graph  Same ...

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