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Question 896965: Peter need to fill up his tuck with gasoline to drive to and from school next week. Gas cost $3.79 per gallon, and his truck holds a maximum of 28 gallons.
State the domain and range for this problem, using appropriate notation
Answer by josgarithmetic(39799)   (Show Source):
You can put this solution on YOUR website! How full or how empty is the truck's fuel tank? What question comes along with the description? Did you omit, "what is the cost of a tank of gasoline for his truck"?
p=price
v=volume
c=cost
A logical question is, what is the amount of fuel, in gallons, that Peter would purchase. The function is named c for cost, but the variable for the function may be v, the volume of fuel. Another logical question is, how much must peter spend to fill his tank.
The equation,  was chosen because it is a uniform rates equation, as well as a variation type equation. The proportionality constant is p, the price of fuel. v varies jointly with c. The rate is p, the price of fuel.
Take the independent variable to be v. We are not given how full or empty is the fuel tank; only that it has capacity for 28 gallons. The DOMAIN, using c as the function, v as the independent variable, is  .
The range will depend on the domain. Peter would not in practice make a purchase of 0 dollars; but could make a purchase of no more than  , maximum. RANGE for c is  .
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