Graphing Functions: Real-Life Costs and Revenues Quiz

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives between 0 and 200 miles, what is the domain of the function representing the total cost?

• [0, 200]

• [0, 300]

• [-50, 200]

• [0, 100]

Using the same car rental company, if a customer pays $70, how many miles did they drive? Interpret the solution in the context of the problem.

• 160 miles

• 120 miles

• 100 miles

• 140 miles

A local gym has a membership fee of $30 per month. If the gym has a maximum capacity of 100 members, what is the range of the function representing the total monthly income from memberships?

• [0, 1500]

• [0, 5000]

• [0, 1000]

• [0, 3000]

If the gym has 75 members, what is the total monthly income? How does this relate to the range you identified?

• $5000

• $3000

• $2500

• $3750

A farmer sells apples for $2 each. If he sells between 0 and 150 apples in a day, what is the domain of the function representing his daily income?

• (0, 150]

• [0, 150]

• [-50, 150]

• [0, 200]

If the farmer made $200 in a day, how many apples did he sell? Explain your reasoning based on the context of the problem.

• Insufficient information to determine the number of apples sold.

• He sold 100 apples at $2 each.

• He sold 50 apples at $4 each.

• He sold 200 apples at $1 each.

A movie theater has 150 seats. If ticket prices range from $5 to $15, what is the range of the function representing the total revenue if all seats are sold?

• $1000 to $3000

• $600 to $1800

• $500 to $2000

• $750 to $2250

If the theater sells tickets for $10 and all seats are filled, what is the total revenue? How does this fit within the range you identified?

• Total revenue is $10 divided by the total number of seats.

• Total revenue is $5 multiplied by the total number of seats.

• Total revenue is $10 multiplied by the total number of seats.

• Total revenue is $10 plus the total number of seats.

A school organizes a field trip with a cost of $25 per student. If they can take between 10 and 50 students, what is the domain of the function representing the total cost of the trip?

• [15, 60]

• [5, 30]

• [0, 100]

• [10, 50]

If the total cost of the trip is $600, how many students attended? Discuss how this solution relates to the domain of the function.

• The number of students is irrelevant to the total cost of the trip.

• The number of students depends on the cost per student; for example, if the cost per student is $100, then 6 students attended.

• The total cost of the trip is $600 per student, so only 1 student attended.

• If the cost per student is $200, then 3 students attended.