The actual distance is 280 miles
The distance for round trip is 560 miles
It costs $ 72.8 for gas on a round trip
Solution:
Given that,
Sean is looking at an atlas and the key at the bottom shows for every 1 and 1/2 inch on the map is approximately 80 miles of actual distance
Therefore,
[tex]1\frac{1}{2}\ inch = 80\ miles[/tex]
Sean measured it to be about 5 and 1/4 inches on the map
Let "x" be the actual distance
Thus, we can say,
[tex]1\frac{1}{2}\ inch = 80\ miles\\\\5\frac{1}{4}\ inches = x\ miles[/tex]
This forms a proportion and we can solve the sum by cross multiplying
[tex]\frac{3}{2} \times x = 80 \times \frac{21}{4}\\\\x = 80 \times \frac{21}{4} \times \frac{2}{3}\\\\x = 280\ miles[/tex]
Thus the actual distance is 280 miles
How far will Sean drive round trip (there and back, no sightseeing)?
Round trip = 280 + 280 = 560 miles
If Sean’s car gets 20 miles per gallon and gas averages about $2.60 a gallon, approximately how much will Sean spend on gas for a round trip?
[tex]\frac{560}{20} = 28[/tex]
cost = 28 x 2.60 = 72.8
Thus it costs $ 72.8 for gas on a round trip
