Checkpoint #2 - Writing and Modeling with Equations

Jane wants to buy a book. The book costs $15. Write an equation that represents the total cost, C, if Jane buys b books.

• C = b + 15

• C = 15b

• C = 15/b

• C = b - 15

A taxi service charges a flat fee of $5 and then $2 per mile driven. Write an equation for the total cost, C, of a ride that is m miles long.

• C = 5 + 2m

• C = 5m + 2

• C = 2 + 5m

• C = 7m

A subscription service charges a monthly fee plus a one-time setup fee. Write an equation that represents the total cost, C, after m months based on the graph.

• C = 12 + 20m

• C = 20 + 12m

• C = 12m

• C = 32m

A gym charges a monthly fee of $30 and an additional $10 for every class attended. If x represents the number of classes and C the total monthly charge, which equation represents this situation?

• C = 30x + 10

• C = 10 + 30x

• C = 10x + 30

• C = 40x

A bakery sells cupcakes for $3 each and cookies for $2 each. If x represents the number of cupcakes and y the number of cookies, and you can only spend $30 in total, which graph represents your situation?

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A movie theater charges $8 for adults and $5 for children. Write the equation that represents the total cost, T, for a adults and c children.

• T = 8a + 5

• T = 8 + 5c

• T = 8a + 5c

• T = 5a + 8c

A grocery store sells apples at $4 per kilogram. If you buy k kilograms of apples, the total cost C is represented by the equation...

A mechanic charges a flat fee of $50 for labor and $25 for each hour of work. Which equation represents the total cost, C, for h hours of work?

• C = 50 + 25h

• C = 25h + 50

• C = 25 + 50h

• C = 75h

You decide to rent a car which costs $40 per day and $0.15 per mile driven. The equation representing the total cost C for d days and m miles is...

Match the situation with its corresponding equation.

• D&B charges a $10 entry fee & $5/game

• T = 10x + 5y

• A gym charges $10/month and $5/class

• T = 10 + 5x

• Bakery sells bread/$10 & rolls/$1

• T = 10x + y