Graphing and Solving Real-Life Linear Equations

Maria is saving money to buy a new bike. She saves $10 each week. Write a linear equation to represent her total savings (S) after w weeks. Graph the equation and determine how many weeks it will take her to save $150.

• 15 weeks

• 25 weeks

• 20 weeks

• 10 weeks

A bakery sells cupcakes for $2 each and cookies for $1 each. If the total sales (T) from cupcakes and cookies can be represented by the equation T = 2c + 1k, where c is the number of cupcakes and k is the number of cookies, graph the equation for 10 cupcakes. What is the total sales if she sells 5 cookies?

• 20

• 25

• 30

• 15

A gardener is planting flowers in rows. Each row can hold 5 flowers. Write a linear equation to represent the total number of flowers (F) in terms of the number of rows (r). Graph the equation and find out how many flowers are needed for 8 rows.

• 40

• 50

• 25

• 30

A school is organizing a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. Write a linear equation for the total cost (C) based on the number of students (s). Graph the equation and check the total cost for 30 students.

• $400

• $650

• $500

• $750

A bookstore sells novels for $12 each and magazines for $5 each. Write a linear equation to represent the total sales (S) based on the number of novels (n) and magazines (m). Graph the equation for 3 novels and find the total sales if 4 magazines are sold.

• 40

• 56

• 50

• 70

A fitness center charges a monthly fee of $25 plus $5 for each class attended. Write a linear equation for the total cost (C) based on the number of classes (c) attended. Graph the equation and determine the cost if 6 classes are attended.

• $45

• $70

• $30

• $55

A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write a linear equation to represent the total revenue (R) based on the number of tickets sold (t). Graph the equation and find the revenue if 300 tickets are sold.

• 5000

• 7000

• 4000

• 6000

A local farmer sells apples for $3 per pound and oranges for $2 per pound. Write a linear equation to represent the total sales (S) based on the pounds of apples (a) and oranges (o) sold. Graph the equation for 4 pounds of apples and check the total sales if 5 pounds of oranges are sold.

• $18

• $25

• $22

• $15