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.

Question

Jocelyn

Mathematics

15 August, 11:57

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.

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Chana · Answer 1

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].