Equations from Real-World Scenarios: Domain & Range Quiz

A local bakery sells cupcakes for $3 each. If the bakery sells between 10 and 50 cupcakes in a day, what is the domain of the number of cupcakes sold?

• {5, 6, 7, ..., 9}

• The domain of the number of cupcakes sold is {10, 11, 12, ..., 50}.

• {0, 1, 2, ..., 10}

• {51, 52, 53, ..., 100}

If the bakery's revenue from selling cupcakes is represented by the equation R = 3x, where x is the number of cupcakes sold, what is the range of the revenue when x is between 10 and 50?

• 40 to 200

• 20 to 100

• 50 to 250

• 30 to 150

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer drives between 10 and 100 miles, what is the domain of the miles driven?

• [10, 100]

• [50, 75]

• [100, 200]

• [0, 10]

Using the equation C = 20 + 0.15m, where C is the total cost and m is the miles driven, what is the range of costs for driving between 10 and 100 miles?

• 10 to 50

• 15 to 25

• 30 to 40

• 21.5 to 35

A gym charges a monthly fee of $30 and an additional $5 for each class attended. If a member attends between 1 and 10 classes, what is the domain of the number of classes?

• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

• {1, 2, 3, 4, 5, 6, 7, 8, 9}

• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Translate the gym's total cost into an equation C = 30 + 5c, where c is the number of classes attended. What is the range of costs for attending between 1 and 10 classes?

• 40 to 70

• 35 to 80

• 30 to 50

• 20 to 60

A farmer sells apples for $2 per pound. If he sells between 5 and 25 pounds of apples, what is the domain of the pounds sold?

• [1, 5]

• [0, 30]

• [5, 25]

• [10, 20]

If the farmer's total earnings from selling apples is represented by the equation E = 2p, where p is the pounds of apples sold, what is the range of earnings when p is between 5 and 25?

• 15 to 40

• 10 to 50

• 5 to 15

• 20 to 30

A concert venue has a seating capacity of 200 people. If tickets are sold for $50 each, what is the domain of the number of tickets sold?

• [0, 250]

• [0, 100]

• [0, 200]

• [-50, 200]

Using the equation T = 50n, where T is the total ticket sales and n is the number of tickets sold, what is the range of total sales when n is between 0 and 200?

• 0 to 10000

• 200 to 1000

• 10000 to 20000

• 0 to 5000