Functions, Domain and Range Word Problems

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}

What is the Range of the situation?

• All real numbers greater than or equal to 0 and less than or equal to 28
• All real numbers greater than or equal to 0 and less than or equal to 9
• All real numbers less than or equal to 28
• All real numbers less than or equal to 9

The student council set its members on four field trips during the school year.  The number of buses needed to transport the members on each trip is a function of the number of members who went on the trip.  This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6).  What is the domain for this situation?

• {52, 105}
• {3, 4, 5, 6}
• {52, 72, 86, 105}
• {3, 4, 5, 52, 72, 86, 105}

The amount of money that Li spends on video games depends on how many games he purchases.  If Li has at most $90 to spend on games for his Xbox 360 and the games cost $22.50 each, what is the domain of this function?

• {0 ≤ x ≤ 90}
• {0 ≤ x ≤ 4}
• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
• {0, 1, 2, 3, 4}

Using his spending account at the school store, Randy buys pencils which are 12 cents each.  For the first 4 months of school, Randy bought 3, 4, 6, and 9 pencils.  If the function A = .12p represents the amount, A, Randy spent on pencils each month and p is the number of pencils he buys, what is the range of this function?

• {3, 4, 6, 9}
• {0.15, 0.16, 0.18, 0.21}
• {0.36, 0.48, 0.72, 1.08}
• {3.12, 4.12, 6.12, 9.12}

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

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

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.