Domain and Range from Word Problems

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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 range? (Equation: f(x)=40+10x)

• -4, -3, -2, -1, 0.....

• $10, $20, $30, $40......

• 0, 1, 2, 3.....

• $40, $50, $60.....

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.B.5

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.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

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 range of the situation?

• 0 < y< 33

• 0<y<33

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

• 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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?

• $25\le x\le30$

• {25, 26, 27, 28, 29, 30}

• $75\le y\le90$

• {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?

• $25\le x\le30$

• {25, 26, 27, 28, 29, 30}

• $75\le y\le90$

• {75, 78, 81, 84, 87, 90}

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable domain?

• $x\ge25$

• $0\le y\le14$

• $x\le14$

• $0\le x\le14$