Functions (general)

A phone plan costs $30 per month plus $0.10 per minute for calls. Write an equation to represent the total cost (C) of the phone plan for t minutes of calls.

• C = $30 + $0.10t

• C = $0.10t - $30.

• C = $0.10t + $30.

• C = $0.10 + $30t.

An art teacher bought paintbrushes for her class. The number of paintbrushes she bought was 6 more than twice the price, x, of each paintbrush in dollars.

Enter the function f(x) that describes the total cost of the paintbrushes, in dollars, as a function of the price, x.

• f(x) = x(2x+6)
• f(x) = x(2x-6)

• f(x) = 2x-6

Raven has a dog grooming business. She charges a flat fee of $30 plus $20 per hour for grooming services. Raven wants to write an equation that will calculate a customer's total cost. She will use the variables c and h.

Most likely, h will represent the ______________.

• number of dogs groomed

• total cost

• cost per hour of service

• number of hours of service

• hidden fees

Erika has a savings account that has $125. She starts saving $5 per week for a new iPhone. Write a function to represent the total amount Erika has in her savings account. How much money will she has after 10 weeks?

• y = 125x + 5

• y = 5x + 125

• y = 125x - 5

• y = 5x - 125

Kyle is starting an exercise program. The FIRST day he will spend 28 minutes on a treadmill. He will increase his time on the treadmill by 4 minutes each day. Write an equation for T(d), the time, in minutes, on the treadmill on day d.

• T(d) = 4d + 28

• T(d) = 4d + 24

• y = 28d + 4

• y = 24d + 4

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. Which function shows the total cost, C, based on the number of miles, m, a vehicle was driven?

• m(C) = m(35 + 0.75)

• C(m) = 35 + 0.75m

• C(m) = 0.75 + 35m

• C(m) = 0.75(m + 35)

Ryan builds 4 picnic tables each day. He started the week with 2 tables. Which equation best represents t, the total number of tables he will have after d days?

• t = 2d + 4

• d = 4t + 2

• t = 2d + 2d

• t= 4d + 2

THIS IS QUESTION C. YOU WILL USE THIS INFORMATION TO ANSWER SEVERAL QUESTIONS.

Frank will be having his birthday party at the local Family Fun Center. It costs $9 per person for pizza and birthday cake. Additionally, Frank has rented the bumper cars for the entire party for a flat rate of $200. Write the function that describes the total cost C of the party to have p people attend.

• C(p)=9p+200

• C(p)=200p+9

• p(C)=200C+9

• p(C)=9C+200

John charges a fee of $5 plus $8 an hour to mow a lawn. Write a function rule to represent how much John would make in h hours.

• f(h) = 5h + 8

• f(h) = 13h

• f(h) = 8h + 5

• f(h) = 3h

In 2010, Ohio's population was 11,536,504 and has increased 1.6% each year. Which equation models the population since 2010?

• y = -.016x - 11,536,504

• y = .016x + 11,536,504

• y = 11,536,504x + 1.6

• y = 11,536,504x - .016