Real World Domain and Range

The number of ferryboat trips, f(c), needed to transport c cars in 1 day can be found using the function f(c)=c/20. . If there are no more than 5,000 cars transported by ferryboat daily, what is the range of the function in this situation?

• whole numbers from 0 to 5,000

• integers from 0 to 5,000

• Integers between 0 and 250

• whole numbers from 0 to 250

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. The equation: C=2h+15. If Frank has $33 to spend, what is the domain of the situation?

• 0 < x < 9

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

• 15, 17, 19, 21, 23, 25, 27, 29, 31, 33

• 0 < y < 33

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.

The MHS Jaguar stadium seats about 2,000 people. The tickets sell for $6 each. The function f(x) = 6x represents the situation where x is the number of people in attendance and f(x) is the amount of money MHS makes as revenue.

What is the domain of the situation?

• X is the set of all integers numbers < 2,000

• 0 < x < 2,000

• 0 < x < 6 where x is all non-negative integers

• X is the set of all positive integers numbers < 2,000

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x miles. What is the range of the situation?

• All real numbers greater than or equal to 0 and less than or equal to 28

• All real numbers greater than or equal to 0 and less than or equal to 9

• All real numbers less than 28

• All real numbers less than 9

For Sara’s birthday trip, she and her friends are renting a beach condo. The cost per person for the condo and gas can be found using the function c=56+9p. What is a reasonable range for this situation if there are at least 5 people but no more than 10 that can attend?

• {5, 6, 7, 8, 9, 10}

• {101, 110, 119, 128, 137, 146}

• 5 ≤ x ≤ 10

• 101 ≤ y ≤ 146

For Sara’s birthday trip, she and her friends are renting a beach condo. The cost per person for the condo and gas can be found using the function c=56+9p. What is a reasonable domain for this situation if there are at least 5 people but no more than 10 that can attend?

• {5, 6, 7, 8, 9, 10}

• {101, 110, 119, 128, 137, 146}

• 5 ≤ x ≤ 10

• 101 ≤ y ≤ 146

Janice is working as a babysitter for the Harold Family.  They plan to leave for their date at 7:00 pm  and be back by 12:00 am.  If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate domain?

• any value between 0 and 5

• any value between 15 and 20

• any value between -1 and 1

• any value greater than 0

Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate range?

• any value between 0 and 5

• any value between 20 and 95

• any value between 0 and 95

• any value greater than 0

What is the range?