Question

Which function best models the data in the graph?

a.) y = 10.1x + 101

b.)y = x2 + 101

c.)y = 101(2x)

d.)y = 1.01x2 + 101

Answer 1

Answer:

THE ANSWER IS A

Step-by-step explanation:

Answer 2

The function best models the data in the graph is (a) y = 10.1x + 101

How to determine the function?

The table is a linear function.

So, we start by calculating the slope (m) using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (202 - 101)/(10 - 0)

Evaluate

m = 10.1

The equation is then calculated using:

y = m(x -x1) + y1

So, we have:

y = 10.1(x - 0) + 101

Evaluate

y = 10.1x + 101

Hence, the function is y = 10.1x + 101

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