Linear Equations in Real Life: Graphing & Variables Quiz

A local bakery sells cupcakes and cookies. Each cupcake costs $2 and each cookie costs $1. If the bakery sells a total of 50 items for $80, how many cupcakes and cookies did they sell? Interpret the solution graphically.

• 30 cupcakes and 20 cookies

• 20 cupcakes and 30 cookies

• 25 cupcakes and 25 cookies

• 40 cupcakes and 10 cookies

A school is organizing a field trip. The cost per student is $30, and the total cost for 40 students is $1200. If the school decides to add 10 more students, how will the total cost change? Identify the dependent variable in this scenario.

• The total cost will increase by $300.

• The total cost will decrease by $300.

• The total cost will remain the same.

• The total cost will increase by $150.

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week, while Jamie saves $10 a week. If they both start with $20, how many weeks will it take for Jamie to have twice as much money as Alex? Graph the equations to find the solution.

• It is impossible for Jamie to have twice as much money as Alex.

• Jamie will have twice as much money in 4 weeks.

• Alex will eventually save more than Jamie.

• They will both have the same amount after 5 weeks.

In a fruit market, apples cost $3 per kilogram and bananas cost $2 per kilogram. If a customer buys a total of 10 kilograms of fruit for $24, how many kilograms of each fruit did they buy? Identify the dependent variable in this problem.

• 5 kg of apples and 5 kg of bananas.

• 10 kg of apples and 0 kg of bananas.

• 6 kg of apples and 4 kg of bananas.

• 8 kg of apples and 2 kg of bananas.

A gym offers two membership plans. Plan A costs $30 per month, and Plan B costs $20 per month plus a one-time fee of $60. After how many months will the costs of both plans be equal? Graph the equations to find the solution.

• 8 months

• 4 months

• 6 months

• 10 months

A bookstore sells novels for $15 each and textbooks for $25 each. If a customer buys a total of 8 books for $150, how many novels and textbooks did they purchase? Interpret the solution graphically.

• 5 novels and 3 textbooks

• 4 novels and 4 textbooks

• 3 novels and 5 textbooks

• 6 novels and 2 textbooks

A concert hall has two types of tickets: regular tickets for $50 and VIP tickets for $100. If a total of 200 tickets are sold for $12,000, how many of each type were sold? Create a system of equations and identify the dependent variable.

• 160 regular tickets and 40 VIP tickets were sold.

• 100 regular tickets and 100 VIP tickets were sold.

• 180 regular tickets and 20 VIP tickets were sold.

• 150 regular tickets and 50 VIP tickets were sold.

A company produces two types of gadgets: Type A and Type B. Type A costs $40 to produce, and Type B costs $60. If the company has a budget of $2400 and wants to produce a total of 50 gadgets, how many of each type can they produce? Graph the equations to find the solution.

• 20 Type A gadgets and 30 Type B gadgets

• 30 Type A gadgets and 20 Type B gadgets

• 40 Type A gadgets and 10 Type B gadgets

• 25 Type A gadgets and 25 Type B gadgets