Question

Tell wether the data in the table can be modeled by a linear equation. Explain.

If possible, write a linear equation that represents y as a function of x. If not possible, leave blank.

Answer 1

yes

By dividing the difference between each two corresponding data values, we get a constant rate of change.

y = 0.2x + 1.2

Explanation:

1. Find the rate of change between each pair of data values in the table and compare to see if they are equal:

(1.4-1.2)/(1-0) = 0.2/1 = 0.2

(1.6-1.4)/(2-1) = 0.2/1 = 0.2

(2-1.6)/(4-2) = 0.4/2 = 0.2

2. Substitute the numbers found in step 1 for m, and the y-value in the data pair (0,1.2) as b in the equation y = mx + b: y = 0.2x + 1.2