Home heating oil currently costs $3.75 per gallon, and Chase wants to put gas in his 5000- gallon tank. If n represents the number of gallons of oil he purchases, and c(n) represents the cost of the oil purchase. Determine the best domain and range for the function.

Respuesta :

Costs $3.75 / gallon

C(n) = 3.75 * n


Domain is the set of values for n.


n is the number of gallons, which has to be a number between 0 and 5000.


Then, the domain is all real numbers in the interval [0 , 5000].


The range is the set of values that the function, C(n) can take.


The minimum value of C(n) = 3.75n is 0*$3.75 = 0.


The maximum value of C(n) is C(n) = 5000*$3.75 = $18750


 And C(n) is continuous meaning that it can take any real value between 0 and $18750.


So, the range of the tuncion C(n) is [0, 18750].