Question

The table below shows the distances of five planets from the sun.

Name of Planet Distance from the sun (in million km)
Mercury 57.9
Venus 108.2
Earth 149.6
Mars 227.9
Jupiter 778.3

If a spacecraft travels 3.6 AU per year, in how many years would it travel from Earth to Venus?

0.05 years

0.07 years

0.08 years

0.09 years

Answer 1

11.5 is the answer

Answer 2

thats not an one of the answer options

Answer 3

oops sorry

Answer 4

yeaa

Answer 5

First, what is the distance between the earth and venus?
Second, we know (don't we?) 1 AU= distance between the earth and the sun
Change the earth to venus distance to AU
can you do that?

Answer 6

we know 1 Astronomical Unit = 149 598 000 kilometers

Answer 7

yes . the distance is 41.4
1AU=150,000,000

Answer 8

Now change 41.4 million km to AU
use a ratio:
(mkm is short for millions of km)
\[ 41.4 mkm * \frac{1 AU}{150 mkm} \]
this gives you the distance between the earth and venus in AU

now use d= velocity * time
d= .276 AU
velocity= 3.6 AU/year

solve :
0.276 AU = 3.6 AU/year * time
for time

Answer 9

you solve by multiplying both sides by the reciprocal
\[ \frac{1 \text{ year}}{3.6 \text{ AU}} \]

Answer 10

Hopefully you get a number that rounds to 0.08 years