Reasonable Domain and Range Word Problems

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

• -4, -3, -2, -1, 0.....

• $10, $20, $30, $40......

• 0, 1, 2, 3.....

• $40, $50, $60.....

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 domain?

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

• 0 < x < 10

• x < 10

What is the range of the following graph?

• R:  {-5, -1,  0 , 1, 5}

• R:  {-4, -2, 0, 3, 6}

• R: (-4, 1)  ( 6, 0)

• R: (6, 0)

What is the Range?

• {-3, -1, 1, 3, 5, 7, 9}

• {-3, -2, -1, 0, 1, 2, 3}

• -3 ≤ x ≤ 3

• -3 ≤ x ≤ 9

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

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}

What is a possible range for this situation?

• {1,2,3,4}

• {75,125,175,225}

• {𝑥 | 1 ≤ 𝑥 ≤ 4}

• {𝑦 | 25 ≤ 𝑦 < 225}

A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.

What is a possible domain for this situation?

• {1,2,3,4}

• {75,125,175,225}

• {𝑥 | 1 ≤ 𝑥 ≤ 4}

• {𝑦 | 25 < 𝑦 < 225}

The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where u is the number of calendars made. If there are at least 10 calendars made, what is a possible domain for this function?

• {𝑥 | 0 ≤ 𝑥 < 50}

• {−12,−11,12,20,50}

• {𝑥 | 10 ≤ 𝑥 < 100}

• {10,11,12,13,14}