Your uncle is trying to convince you to join his research team at CERN by offering you a summer job that pays a wage of w = 19 € (EURO) per hour. The lab is d = 7.9 km from your uncle’s house, where you would be staying. You know that you can bike 1 mile in t = 7 minutes. Alternatively, you can borrow your uncle’s car as long as you pay for gasoline. The car's gas tank has a capacity of c = 13 US gallons, and the price of gasoline is p = 1.49 €/liter. (a) If the exchange rate is 1 € = 1.2915 $US, what is your expected hourly income in SUS hour?
(b) How many minutes will it take you to bike from your uncle's house to the lab?
(c) On second thought, you hate riding your bike on hills. You decide to borrow your uncle's car. If the gas tank on the car has a capacity of c = 13.5 US gallons, how many liters of gasoline will it take to fill the empty tank?
(d) Gasoline isp=1.47€ liter. What is the equivalent price of gas in $US gal?
(e) How much will it cost, in euros, to fill the tank?
(f) The car averages 20 miles per gallon. If you start with a full gas tank, for how many full days can you commute before you need to refill the tank?