The height, in meters, of a machine piston can be modeled by the regression equation y = 4.4sin(0.4x – 1.7) + 2.3, where x represents time, in seconds.To the nearest tenth of a meter, what is the height of the piston after 10 seconds?

Substitute x = 10 into the equation: 0.4(10) − 1.7 = 2.3, so y = 4.4 sin(2.3) + 2.3. Using radians, sin(2.3) is about 0.746, giving y ≈ 4.4(0.746) + 2.3 = 5.6 meters to the nearest tenth. The correct choice is 5.6 m.

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