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

Wribreeminsl

Wribreeminsl

Answered question

2021-09-14

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

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-09-15Added 105 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.
5.53=2.5
85.5=2.5
10.58=2.5
1310.5=2.5
The difference between the y-values is 2.5.
So, the data is linear.
Here, m=2.5
Now, find the value of b.
y=mx+b ...(1)
When x=0 and y=8.
Substitute 2.5 for m, 8 for y and 0 for x.
8=(2.5)(0)+b8=0+=8
Now, find the linear function if m=2.5 and b=8.
y=2.5x+8
Hence, the function is f(x)=2.5x+8.
Conclusion:
By analyzing the data given in the table, we figured out that the data fits a linear model. The required model is f(x)=2.5x+8.

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