Question

the park hill middle school band is holding a car wash to raise money for new uniforms. the band charges $20 for each vehicle washed. the function p(v) represents the amount of money raised, in dollars, from washing v vehicles. what is the domain of p(v)? all real numbers from 0 to 20 all multiples of 20 all real numbers all whole numbers

Explanation:

Step1: Define domain context

The domain of $P(v)$ is the set of valid values for $v$, the number of vehicles washed.

Step2: Evaluate valid $v$ values

You cannot wash a negative number of vehicles, nor a fraction of a vehicle. Whole numbers (0, 1, 2, 3, ...) represent valid counts of vehicles.

Step3: Eliminate incorrect options

• "all real numbers from 0 to 20": No upper limit of 20 is given.
• "all multiples of 20": This describes the range (money raised), not domain.
• "all real numbers": Fractions/negatives are invalid for vehicle counts.

Answer:

all whole numbers