Modeling Word Problems: Identify Variables & Equations

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you drive a total of 150 miles, how much will you pay? Identify the variables and write an equation to represent the total cost.

• $45

• $60

• $90

• $75

Maria is saving money to buy a new bike. She saves $15 each week. If she wants to buy a bike that costs $120, how many weeks will it take her to save enough money? Identify the variables and write an equation.

• 6 weeks

• 12 weeks

• 8 weeks

• 10 weeks

A bakery sells cupcakes for $2 each. If they sell 'x' cupcakes in a day, how much money do they make in total? Write an equation to represent the total sales based on the number of cupcakes sold.

• Total Sales = x + 2

• Total Sales = 2 * x

• Total Sales = 2 / x

• Total Sales = 2 + x

A school is planning a field trip. The cost per student is $25, and there are 'n' students going. Write an equation to find the total cost for the trip. What are the variables in this problem?

• Total Cost = 25 - n; Variables: Total Cost, n (number of students).

• Total Cost = 25 * n; Variables: n (number of students), Total Cost.

• Total Cost = n / 25; Variables: Total Cost, n (total cost).

• Total Cost = 25 + n; Variables: n (number of students), Cost per student.

Tom is collecting baseball cards. He starts with 10 cards and collects 5 more each week. Write an equation to model the number of cards he has after 'w' weeks. Identify the variables.

• cards = 10 - 5w

• cards = 5w

• cards = 10 + w

• cards = 10 + 5w

A gardener plants 'p' flowers in each row. If he plants 4 rows, how many flowers does he plant in total? Write an equation to represent the total number of flowers planted.

• Total flowers = 8p

• Total flowers = 2p

• Total flowers = p + 4

• Total flowers = 4p

A movie theater charges $10 per ticket. If 't' tickets are sold, how much money does the theater make? Write an equation to represent the total revenue from ticket sales.

• Revenue = 10 * t

• Revenue = 10 - t

• Revenue = 10 + t

• Revenue = 5 * t

Samantha is reading a book that has 300 pages. If she reads 'r' pages each day, how many days will it take her to finish the book? Write an equation to model this situation and identify the variables.

• days = 300 + r

• days = 300 / r

• days = r - 300

• days = 300 * r

A gym charges a monthly fee of $40 plus $5 for each class attended. If a member attends 'c' classes in a month, write an equation to find the total cost for that month. What are the variables?

• Total Cost = 40 + 5 * c; Variables: c (number of classes attended)

• Total Cost = 40 * c + 5; Variables: c (total cost)

• Total Cost = 5 * c; Variables: c (number of months)

• Total Cost = 5 + 40 * c; Variables: c (monthly fee)

A train travels at a speed of 60 miles per hour. If 't' represents the time in hours, write an equation to find the distance traveled by the train. Identify the variables in this problem.

• distance = t/60

• distance = 60 - t

• distance = 60t

• distance = 60 + t