Reading Equations

The equation y = 1.75 + 0.50x can be used to determine the cost of a cab ride of x miles.  Which two statements are true?

• Each mile costs $1.75.

• Each mile costs $0.50.

• Getting into the cab costs $1.75.

• Getting into the cab costs $0.50.

The equation y = 2.25 + 0.75x represents the total cost in dollars of a taxi ride of x miles. Which two statements are correct?

• Each mile costs $2.25.

• Each mile costs $0.75.

• The initial fare for getting into the taxi is $2.25.

• The initial fare for getting into the taxi is $0.75.

The equation y = 3.50 + 1.25x represents the total cost in dollars of a taxi ride of x miles. Which two statements are correct?

• Each mile costs $3.50.

• Each mile costs $1.25.

• The initial fare for getting into the taxi is $3.50.

• The initial fare for getting into the taxi is $1.25.

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 30 + 0.15x = 36 + 0.10x

• 30 - 0.15x = 36 - 0.10x

• 30 + 36 = 0.10x + 0.36x

• 36 - 30 = 0.36x + 0.10x

What does the y represent in this equation?

• input

• rise over run

• starting point

• output

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.

• 25 - x = 15 - 2x

• 25 + 15 = x + 2x

• 25x + 1 = 15x + 2

• 25 + x = 15 + 2x

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies.

• 36,000x + 1,500 = 29,000x + 2,500

• 36,000 - 29,000 = 1,500x + 2,500x

• 36,000 - 1,500x = 29,000 - 2,500x

• 36,000 + 1,500x = 29,000 + 2,500x

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

• 125 - 100 = 45x + 35x

• 100x + 45 = 125x + 35

• 100 + 45x = 125 + 35x

• 100 - 45x = 125 - 35x