Jack has $800,000 in his pocket nothing but cash, but he spent 700,000 on parts for his plane. Jack is planning a road trip back home. if gas is $400 a gallon and his trip is 600 miles, will he make it home?
Thanks Chris
I had to think quite hard about this - maybe I shouldn't admit that :))
He has a maximum of $100,000 for fuel
Fuel costs $400 per gallon so he has enough money for
100,000 / 400 = 250 gallons
Now the distance is 600 miles so it will be alright so long has he gets at least
$$\frac{600\;miles}{250\;gallons}=\frac{2400\;miles}{1000\;gallons}=2.4miles/gallon$$
Just like Chris said
As long as this inequality is satisfied, he can make it back home.....
($400)( 600) / x ≤ $100,000 where x is the mpg of gas that his car gets ......so.....rearranging
240,000/100,000 ≤ x
2.4 ≤ x
In other words, as long as his car gets at least 2.4 mpg of gas, he can make it back
Thanks Chris
I had to think quite hard about this - maybe I shouldn't admit that :))
He has a maximum of $100,000 for fuel
Fuel costs $400 per gallon so he has enough money for
100,000 / 400 = 250 gallons
Now the distance is 600 miles so it will be alright so long has he gets at least
$$\frac{600\;miles}{250\;gallons}=\frac{2400\;miles}{1000\;gallons}=2.4miles/gallon$$
Just like Chris said