Functions, 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.....

Mae worked at a summer camp where she earned $20 plus $7 an hour each week. The amount of money she earned each week, e, is a function of the number of hours she works, h. Mae could not work more than 20 hours each week. What is the domain/range? Note: Mae can work part of an hour.

• Domain: {0, 1, 2, 3, ..., 20}

  Range: {20, 27, ..., 160}

• Domain: {20, 27, ..., 160}

  Range: {0, 1, 2, 3, ..., 20}

Lucy's dog gave birth to a litter of 7 puppies. She plans to sell each puppy for $350. The function f(x)=350x can be used to represent this situation. What is the domain/ range of this function?

• Domain: {0, 1, 2, 3, 4, 5, 6, 7}

  Range: {0, 350, 700, 1050, 1400, 1750, 2100, 2400}

• Domain: {0, 350, 700, 1050, 1400, 1750, 2100, 2400}

  Range: {0, 1, 2, 3, 4, 5, 6, 7}

A BBQ 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 ordering BBQ, 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, ... , 105, 217.50}

• All Real Numbers

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the DOMAIN of the function for this situation?

Find the Range.

• All Real numbers

• 0 < y < 11

• y ≥ 0

• y > 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

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 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.

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