Beautiful ! What a great exercise ! I won't even check to verify
that 1:10⁻¹⁹ is an appropriate scale to map the Milky Way onto a
football field. I'll just accept it and go from there.
(4.4 light years) x (10⁻¹⁹) = (2.5848 x 10¹³ miles) x (10⁻¹⁹)
= 2.5848 x 10⁻⁶ mile
= 0.164 inch .
(1,391,400 kilometers) x (10⁻¹⁹) = 1.3914 x 10⁻¹⁰ meter
Research Conclusions:
If the Milky Way shrinks to fit on a football field, then
-- Alpha Centauri is 0.164 inch from us.
-- The sun's diameter is about 1.39 times that of a Hydrogen atom.
Playing with this same fun concept a little more:
-- The Earth is sailing around in its orbit, once a year,
about 0.000015 millimeter from the sun.
-- It takes light almost 27 years to travel 1 inch !
wow !
The best way to approach this problem is to start off by doing factor by grouping.
A: 208cm
B: 27cm
C: 30,000cm
Hope this helps!
Mr.Jones charges $800 per lesson and requires 3 lessons
That means mr Jones will charge Samantha 800x3 = $2400 in total.
Mr. Police charges $62 per lesson and requires 4 lessons,
62x4 = $248 in total.
Since mr. Police charges less than mr.Jones, it would be a better deal for Samantha.
IN CASE YOU WROTE THE QUESTION WRONG AND MR JONES CHARGES $80 PER LESSON
In that case it would be 80x3 = $240 in total
mr jones would charge less now and it would be better deal for Samantha.
