Question

paul works for a landscaping company during his school breaks. to prepare for a day of work, he fills his leaf blower with 2 gallons of fuel, which will last for 4 hours of use. the function v(h) represents the amount of fuel, in gallons, remaining in the leaf blower after h hours of use. what is the domain of v(h)? all whole numbers from 0 to 2 all whole numbers from 0 to 4 all real numbers from 0 to 4 all real numbers from 0 to 2

Explanation:

Step1: Define domain meaning

Domain = valid $h$ (hours of use) values

Step2: Identify minimum $h$

Minimum hours used: $h=0$ (no use yet)

Step3: Identify maximum $h$

Fuel lasts 4 hours, so max $h=4$

Step4: Determine valid number type

Hours can be any real value (e.g., 1.5 hours), not just whole numbers.

Answer:

all real numbers from 0 to 4