Different Representations of Functions

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Write an equation in slope-intercept form to represent the situation.

• y = 30x + 100

• y = 20x + 120

• y = 120x + 120

• y = 50x + 100

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which graph models the amount she charges over time?

• 
• 
• 
• 

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which table models the amount she charges over time?

• 
• 
• 
• 

Your Uber driver charges you $5.15 per mile, plus a pick of fee of $8.95. You want to go to the Convention Center to watch a concert. Write a linear function that would represent this situation.

It costs $5.99 a month to join Netflix along with a start up fee of $46.50. Write a linear function to represent this situation.

What is the slope (or rate of change)?

• $2/1 mile drive

• $1/2 miles driven

• 2 miles driven/$1

• 1 mile driven/$2

The equation y = 0.50x - 40 models the relationship between the number of customers, x, and the profit, y, for a lemonade stand.  Explain the meaning of the slope within the context of the problem.

• 50 cent profit is made for each additional customer.

• $1 profit is made for each half customer.

• $50 profit is made for each additional customer.

• You lose $40 for each customer.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

• F
• G
• H
• J