Domain and Range of Word Problems

A holiday church's meal costs $12.50 a person plus a delivery fee of $30. The equation is: f(x)=30+12.5x, where x is the number of hungry people. If there are 15 people in the church, what is the domain?

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

• 0, 42.50, 55, 67.50, 80, 92.50, 105, 117.50, ....

• None of the above.

A student is taking a test that has 10 questions on it. The student's score is a function of how many questions he misses: f(x)=100-10x, where x is the number of questions incorrect. What is the range?

• 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

• 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

• 0 < y < 100

• y < 100

Mario has and iTunes gift card worth $20.00. He uses the formula    y=0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?

• All integers between 0 and 20

• All real numbers between 0 and 19.80

• All integers greater than 0

• All integers between 0 and 250

If I join the gym for a start up fee of $40 and monthly fee of $10, what is the domain? (Equation: f(x)=40+10x)

• -4, -3, -2, -1, 0.....

• $10, $20, $30, $40......

• 0, 1, 2, 3.....

• 1, 2, 3, and 4

Hector’s service club is raising money by wrapping presents in the mall. The function y = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. Hector's goal is to wrap between 25 and 30 presents. If he reaches his goal what is the domain of this situation?

• {25, 26, 27, 28, 29, 30}

• {75, 78, 81, 84, 87, 90}

Hector’s service club is raising money by wrapping presents in the mall. The function y = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. Hector's goal is to wrap between 25 and 30 presents. If he reaches his goal what is the range of this situation?

• {25, 26, 27, 28, 29, 30}

• {75, 78, 81, 84, 87, 90}

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

• Domain: all real numbers greater than or equal to 0 and less than or equal to 100.

  Range: all real numbers greater than or equal to 0 and less than or equal to 50.

• Domain: {-2}

  Range: {100}

• Domain: all real numbers greater than or equal to 0 and less than or equal to 50.

  Range: all real numbers greater than or equal to 0 and less than or equal to 100.

• Domain: {100}

  Range: {-2}

A set of weights includes a 4 lb barbell and 6 pairs of weight plate. Each pair of plates weighs 20 lb. If x pairs of plate are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x)=20x+4. What is the range of the function in this situation?

• {0, 1, 2, 3, 4, 5, 6,}

• {4, 24, 44, 64, 84, 104, 124}

• {0, 2, 4, 6}

• {4, 44, 84, 124}

What is the range of the graph? (a)  

• ≤ x ≤ 5

• < x < 5

• ≤ y ≤ 5

• < y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5