Mercury is the closest planet to the Sun, with an average distance of 35,000,000 miles. It takes light about 3 minutes to travel
from the Sun to Mercury. Neptune is the farthest, with an average distance of 2.8 × 109 miles from the Sun.
How many times farther from the Sun is Neptune than Mercury? How long does it take light to reach Neptune? Follow the steps to find out.
1. Write the distance from the Sun to Mercury in scientific notation. Include units with your answer.
Write your answer in the space below.
2. Write and simplify an expression showing how many times farther Neptune is from the Sun than Mercury. Write the result in scientific notation.
Write your answer in the space below.
3. How many times longer does it take light from the Sun to reach Neptune than Mercury? Express this number in standard notation. Explain your reasoning.
Write your answer in the space below.
4. It takes light from the Sun about 3 minutes to reach Mercury. How many hours does it take light from the Sun to reach Neptune? Show your work.
The equation from the word problem is 2(x+5)+25=140. Distribute 2 to the parentheses and get 2x+10+25=140. Combine like terms to get 2x+35=140. Subtract 35 from both sides and get 2x=105. Divide both sides by 2 and your final answer is x=52.5
