Reasonable Domain and Range Word Problems

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable range for this function?

• {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

• {105, 112, 119, 126, 133, 140, 147, 154, 161, 168}

• {y | 15 ≤ y ≤ 25}

• {y | 105 ≤ y ≤ 168}

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable domain for this situation?

• {0, 1, 2}

• {0, 1, 2, 3, 4}

• {x | 0 ≤ x ≤ 2}

• {x | 0 ≤ x ≤ 4}

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable range for this situation?

• {0, 1, 2}

• {0, 1, 2, 3, 4}

• {y | 0 ≤ y ≤ 2}

• {y | 0 ≤ y ≤ 4}

What is the hardest part about domain and range in word problems?

• Remembering that domain is x and range is y.

• Deciding if they should be discrete or continuous

• Figuring out which part of the situation should be x and y

• Something else, I will talk to you!

• The set of all integers from 0 to 5

• The set of all integers from 0 to 150

• The set of all integers less than or equal to 750

• The set of all integers from 0 to 750

• { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

• { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

• y ≤ 10

• 0 ≤ y ≤ 10

• x ≥ 0
• x ≤ 7
• 0 ≤ x ≤ 7
• { 0,1, 2, 3, 4, 5, 6, 7 }

The total cost of renting a banquet hall is a function of the number of hours the hall is needed. The owner of the banquet hall charges $85 per half hour up to a maximum of 4 hours plus a $50 cleaning fee. What is the greatest value in the range for this situation?

• 135

• 50

• 4

• 730

All of the y values or outputs are called what?

• Domain

• Range

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

To celebrate the holiday season this year, Six Flags has created an extreme six-lane, tubing hill with real snow called the “Superman’s Awesome SNOW Tubing Ride.”  The cost of each ticket for one day is $35.  The number of tickets purchased by groups is given by the domain {3, 8, 12}.  Which would be a reasonable range for the total cost of the tickets the groups would pay? 

• {3,8,12}

• {105,280,420}

• {3,8,12,105,280,420}

• {38,43,51}