Question

Suppose that the cost to fill your 15 gallon gas tank is determined by the function c(g)=3.29g, where C(g) is the output (cost in $) and g, is the input (gallons of gas). what is the reasonable domain for write it in words. a) g≥0

b) g≤15
c) 0d) g>15

Answer 1

The reasonable domain for the function c(g)=3.29g, which indicates the cost to fill a gas tank, is all values of g where 0 ≤ g ≤ 15, reflecting the gas tank's maximum capacity and the impossibility of negative gallons.

Step-by-step explanation:

The student is asking about the reasonable domain for the function c(g)=3.29g, which represents the cost to fill a 15 gallon gas tank. The domain of a function is the set of input values for which the function is defined. Since you cannot pump negative gallons of gas, the domain cannot include negative numbers. Also, since the gas tank's maximum capacity is 15 gallons, it is not reasonable to consider values greater than 15 gallons. Therefore, the reasonable domain for the function is where g is greater than or equal to 0 and less than or equal to 15, represented by 0 ≤ g ≤ 15.