Reasonable Domain and Range Word Problems

What is the domain if at least 5 but not more than 10 t-shirts are purchased?

• 5 ≤ x ≤ 10

• 35 ≤ c ≤ 65

• {5, 6, 7, 8, 9, 10}

• {35, 41, 47, 53, 59, 65}

An equation is shown.
y=−3x−12
When the value of the range is −18, what is the value of the domain?

• -2

• 2

• 5

• 36

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

All of the x values or inputs are called what?

• Domain

• Range

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the range if at least 5 but not more than 10 t-shirts are purchased?

• 5 ≤ x ≤ 10

• 35 ≤ c ≤ 65

• {5, 6, 7, 8, 9, 10}

• {35, 41, 47, 53, 59, 65}

Paul works for a landscaping company during his school breaks. To prepare for a day of work, he fills his leaf blower with 2 gallons of fuel, which will last for 4 hours of use. The function V(h) represents the amount of fuel, in gallons, remaining in the leaf blower after h hours of use.

What is the domain of V(h)?

• 
• 
• 
• 

Katie is driving from New York City to Boston. When she gets on the highway, she sets her car's cruise control to 60 miles per hour. She travels at that speed for 2 hours before exiting the highway. The function D(t) represents the distance Katie has traveled on the highway, t hours after she set her cruise control.

What is the domain of D(t)?

• 0 ≤ x ≤ 2

• x ≤ 2

• 0 ≤ x ≤ 120

• All real numbers

The Astoria Park Community Pool sells season passes for $105 each. This season, they can sell up to 500 season passes. The function S(n) represents the amount of money the pool makes from selling n passes this season.

What is the domain of S(n)?

• all whole numbers

• all whole numbers less than or equal to 500

• all real numbers

• all real numbers less than or equal to 500

Fred's cell phone plan charges $40 per month for unlimited talk, text, and data. In order to get this rate, he must pay in full on the first day of each month. The function C(m) represents the cost, in dollars, of m months of service.

What is the domain of C(m)?

• all whole numbers greater than or equal to 1

• all real numbers from 1 to 40

• all whole numbers less than or equal to 40

• all real numbers

Quincy walks his dog each morning before school. They always walk the same 1-mile route, which takes 20 minutes. The function D(m) represents the distance Quincy and his dog have walked, in miles, after m minutes.

What is the domain of D(m)?

• all real numbers

• all whole numbers

• all whole numbers from 0 to 20

• all real numbers from 0 to 20

Greta drives a tour bus in New York City. Her bus can seat up to 60 passengers. She collects a fee of $15 from each passenger, and always waits for at least 10 passengers to run the tour. The function C(p) represents the amount Greta collects, in dollars, for running a tour with p passengers.

What is the domain of C(p)?

• all whole numbers from 10 to 60

• all whole numbers

• all whole numbers from 0 to 10

• all whole numbers from 0 to 60