F.LE.5 - Interpret linear functions in terms of a context.

The formula h(z) = 12z + 8 is used to calculate the total cost, in dollars, of hiring a personal trainer for z hours. What does the number 12 represent in this formula?

• The initial fee for hiring the personal trainer.

• The total cost of the personal training session.

• The cost increase, in dollars per hour, for each additional hour of training.

• The cost increase, in dollars per hour, when z increases by 12.

Tags

CCSS.HSF.LE.B.5

The function f(x) = 25x + 50 can be used to determine the cost, in dollars, of Hoover's plumbing service fee for domestic repairs. What is the meaning of the function's slope?

• The cost to show up for plumbing job.

• The change in the cost, in dollars per hour, of the plumbing job, when x increases by 25.

• The total cost of the plumbing service fee.

• The change in the cost, in dollars per hour, of the plumbing job, when x increases by 1.

Tags

CCSS.HSF.LE.B.5

The equation g(x) = 15x + 30 represents the cost, in dollars, of hiring a local electrician for home services. What does the y-intercept of this function signify?

• The total cost of the electrician's services.

• The rate at which the cost increases, in dollars per hour, for every additional 15 units of work.

• The initial cost of hiring the electrician before any work is done.

• The cost increase, in dollars per hour, for each unit increase in x.

Tags

CCSS.HSF.LE.B.5

The function f(x) = 20x + 40 describes the expense, in dollars, of engaging a plumber for household repairs. What does the y-intercept of this equation represent?

• The initial fee for calling out the plumber before any services are rendered.

• The rate at which the expense increases, in dollars per hour, for every additional 20 units of work.

• The complete cost of the plumber's services.

• The expense increase, in dollars per hour, for each unit increase in x.

Tags

CCSS.HSF.LE.B.5

The equation g(x) = 15x + 30 represents the cost, in dollars, of hiring an electrician for home maintenance. What does the coefficient of y indicate?

• The total payment for the electrician's services.

• The rate at which the cost increases, in dollars per hour, for each additional unit of x.

• The initial charge for requesting the electrician's services before any work is done.

• The cost increase, in dollars, for every 15 units of work performed.

Tags

CCSS.HSF.LE.B.5

The function f(x) = 20x + 40 describes the expense, in dollars, of hiring a plumber for house repairs. What does the coefficient of y signify?

• The initial fee for calling the plumber's services before any work is performed.

• The expense increase, in dollars, for every 20 units of work done.

• The rate at which the expense increases, in dollars per hour, for each additional unit of x.

• The total cost for the plumber's services.

Tags

CCSS.HSF.LE.B.5

The equation m(x) = 10x + 20 is used to calculate the cost, in dollars, of hiring a landscaper for x hours. What does the number 10 represent in this equation?

• The initial fee for hiring the landscaper.

• The total cost of the landscaping session.

• The cost increase, in dollars per hour, for each additional hour of service.

• The cost increase, in dollars per hour, when x increases by 10.

Tags

CCSS.HSF.LE.B.5

The function p(x) = 30x + 60 can be used to determine the cost, in dollars, of a painting service for x rooms. What does the y-intercept of this function signify?

• The total cost of the painting service.

• The rate at which the cost increases, in dollars per room, for every additional 30 units of work.

• The initial cost of hiring the painting service before any work is done.

• The cost increase, in dollars per room, for each unit increase in x.

Tags

CCSS.HSF.LE.B.5

The equation c(x) = 5x + 15 represents the cost, in dollars, of buying x number of books from a bookstore. What does the coefficient of x indicate?

• The total payment for the books.

• The rate at which the cost increases, in dollars per book, for each additional unit of x.

• The initial charge for the first book before any additional books are added.

• The cost increase, in dollars, for every 5 units of books purchased.

Tags

CCSS.HSF.LE.B.5

The equation v(x) = 8x + 16 represents the cost, in dollars, of hiring a window cleaner for x hours. What does the y-intercept of this equation signify?

• The total cost of the window cleaning service.

• The rate at which the cost increases, in dollars per hour, for every additional 8 units of work.

• The initial cost of hiring the window cleaner before any work is done.

• The cost increase, in dollars per hour, for each unit increase in x.

Tags

CCSS.HSF.LE.B.5