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The given table lists the distances (in
megaparsecs where 1 megaparsec 3.1x 10¹9
km) and velocities (in kilometers per second) of
four space objects moving rapidly away from
Earth. Complete parts a through d.
Object
A
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(BCD
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В
с
Distance
13
200
280
520
b. Write a linear equation y=mx to model this data, using the ordered pair (520,40000).
y= 76.9x
(Simplify your answer. Round to the nearest tenth as needed.)
c. An object has a velocity of 50,000 km per sec. Use the equation in part b to approximate how far away it is from Earth.
The object is approximately 650 megaparsecs away from Earth.
(Simplify your answer. Round to the nearest integer as needed.)
M
Velocity
1400
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 A
Approximate A using the value of m from part b.
The age of the universe is about
billion years.
(Simplify your answer. Round to the nearest tenth as needed.)
:
D
15,000
24,000
40,000
T
[0] √₁
II, (0,0)
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Clear all
9.5x10¹1
m
Final check
9:5
help me solve part d