The table lists the distances (in megaparsecs where 1 megaparsec 3.1 10 19 km) and

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The table lists the distances (in megaparsecs where 1 megaparsec ≈  3.1 × 1019 km) and velocities (in kilometers per second) of four galaxies moving rapidly away from Earth.

(a) Plot the data points, letting x represent distance and y represent velocity. Do the points lie in an approximately linear pattern?
(b) Write a linear equation y = mx to model these data, using the ordered pair (520, 40,000).
(c) The galaxy Hydra has a velocity of 60,000 km per sec. Use your equation to approximate how far away it is from Earth.
(d) The value of m in the equation is called the Hubble constant. The Hubble constant can be used to estimate the age of the universe A (in years) using the formula

Approximate A using your value of m.

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