Whether the given data is linear or exponential and find the corresponding model

Yulia

Yulia

Answered question

2021-09-18

Whether the given data is linear or exponential and find the corresponding model.
Given: The table
x01234y20.80.41.62.8

Answer & Explanation

odgovoreh

odgovoreh

Skilled2021-09-19Added 107 answers

Formula used: y=mx+b
Calculation:
Since difference between consecutive x values is constant. Therefore, we find the difference between the corresponding values of y.
0.82=1.2
0.40.8=1.2
1.6(0.4)=1.6+0.4=1.2
2.8(1.6)=2.8+1.6=1.2
The difference between the y-values is -1.2. Since difference between y values is constant too.
So, the data is linear.
Here, m=1.2.
Now, find the value of b.
y=mx+b ...(1)
When x=0 and y=2.
Substitute (-1.2) for m, 2 for y and 0 for x.
2=(1.2)(0)+b2=0+=2
Now, find the linear function if m=1.2 and b=2.
y=1.2x+2
Hence, the function is f(x)=1.2x+2
Conclusion:
Analyzing the data given in the table, we figured out that data models a linear function.

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