Evaluating Functions Word Problems Domain and Range

The total cost, in dollars, for lumber is given by the function f(x) = 4x + 6, where x is the length of the lumber in inches. In dollars, how much is the cost of lumber that is 3 feet in length?

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CCSS.HSF.LE.B.5

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CCSS.HSF.LE.B.5

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CCSS.HSF-BF.A.1B

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CCSS.HSF-IF.C.8B

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

• g(8)=8. This means that after 8 packages of gum, the company makes $8.

• g(8)=42. This means that 8 packages of gum costs $42.

• g(8)=28. This means that 8 packages of gum costs $28.

• g(8)=24. This means that 8 packages of gum costs $24.

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CCSS.HSF.IF.A.2

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased.  If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

• {4, 5, 6, 7}
• 4 ≤ x ≤ 7
• 72.55 ≤ c ≤ 123.50
• {72.55, 89.50, 106.45, 123.40}

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

A pizza shop sells pizza for $7.50 each plus $1.25 per topping. The total price of the pizzas can be determined by the function P(t) = 7.5 + 1.25t, where te is the number of toppings orders and P(t) is the total price of the pizza. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. Which inequality represents the range of the situation?

• {10, 11.25, 12.50, 13.75, 15, 16.25, 17.50}

• {2, 3, 4, 5, 6, 7, 8}

• 10 ≤ P(t) ≤ 17.50

• 0 ≤ P(t) ≤ 17.50

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

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