Real World Domain and Range

Hector’s service club is raising money by wrapping presents in the mall. The function f(x) = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. What is an appropriate domain?

• 1000≤x≤0

• x≥1000

• 0≤x≤1000

• x≤3000

Hector’s service club is raising money by wrapping presents in the mall. The function f(x) = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. What is an appropriate range?

• 3000≤y≤0

• y≥3000

• 0≤x≤3000

• 0≤y≤3000

   The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 30u + 6, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is maximum range value?

• 246

• 300

• 336

• 265

The amount of change that you receive from a  $10 bill depends on the number of $2 tickets purchased. This can be modeled by the function , where x represents the number of tickets bought, and y, represents the amount of change received. What would be the range of this function?

• {0, 1, 2, 3, 4, 5}

• {0, 2, 4, 6, 8, 10}

Felipe is washing his dog in the bathtub. The tub starts out empty, but then fills with water at a rate of 8 gallons per minute. This can be modeled by the function . The maximum capacity of the tub without overflowing is 72 gallons. If the capacity of the bathtub is a function of the number of minutes the water is running, what would the domain be for this situation?

• {0, 1, 2, 3, 4, 5 ,6, 7, 8, 9}

• {0, 8, 16, 24, 32, 40, 48, 56, 64, 72}

A boy has 7 stamps. The number of letters he can mail is a function of x, the number of stamps he has. Which option best describes the domain of the function?

• x ≥ 0

• x ≤ 7

• 0 ≤ x ≤ 7

• { 0,1, 2, 3, 4, 5, 6, 7 }

Joe has a summer job that pays $7 an hour and he worked between 30 and 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he working a week. What does the range variable represent?

• Hours worked

• Salary

A dolphin jumps out of the water and then back into the water. His jump could be graphed on a set of axes where x represents time and y represents distance above or below sea level. The domain for this graph is best represented using a set of

• integers

• positive integers

• real numbers

• positive real numbers

Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?

• integers

• whole numbers

• irrational numbers

• rational numbers

A store sells self-serve frozen yogurt sundaes. The function C(w) represents the cost, in dollars, of a sundae weighing w ounces. An appropriate domain for the function would be

• integers

• rational numbers

• nonnegative integers

• nonnegative rational numbers