Linear Functions in Real Life

A coffee shop charges a base fee for a coffee subscription and an additional fee for each cup of coffee. The total cost \( C \) in dollars can be represented by the equation \( C = 5 + 2x \), where \( x \) is the number of cups of coffee. What does the slope represent in this context?

• The base fee for the coffee subscription

• The additional fee for each cup of coffee

• The total cost of the coffee subscription

• The number of cups of coffee

A phone company offers a monthly plan that includes a fixed number of free minutes and a charge for each additional minute. The monthly cost \( M \) in dollars can be described by the equation \( M = 30 + 0.10x \), where \( x \) is the number of additional minutes used. What does the slope indicate?

• The fixed monthly cost

• The cost for each additional minute

• The total number of free minutes

• The total monthly cost including additional minutes

A landscaper charges a flat fee for a landscaping consultation and then an hourly rate for actual landscaping work. If the total cost \( T \) in dollars can be expressed as \( T = 50 + 25x \), where \( x \) is the number of hours of landscaping work, what does the slope of this function represent?

• The flat fee for the consultation

• The hourly rate for landscaping work

• The total cost of the landscaping work

• The number of hours of work

A parking garage charges an initial fee plus an hourly rate. The total parking fee \( F \) in dollars is given by the equation \( F = 2.50 + 1.75x \), where \( x \) is the number of hours parked. What does the y-intercept signify in this scenario?

• The hourly parking rate

• The initial fee before any hours are parked

• The total fee for parking

• The number of hours parked

A company offers a printing service with a setup fee and a cost per page. The total printing cost \( P \) in dollars can be described by the equation \( P = 20 + 0.05x \), where \( x \) is the number of pages printed. What does the slope of this equation represent?

• The setup fee for printing

• The cost per page printed

• The total cost of printing

• The number of pages printed

A car rental agency charges a daily rate plus a per mile charge. The total rental cost \( R \) in dollars is represented by the equation \( R = 50 + 0.20x \), where \( x \) is the number of miles driven. In this equation, what does the y-intercept represent?

• The per mile charge

• The daily rate

• The total rental cost

• The number of miles driven

A taxi company charges a flat pickup rate plus a per mile rate. If the cost \( y \) in dollars is given by the equation \( y = 3 + 1.5x \), where \( x \) is the number of miles, what does the y-intercept represent?

• The cost per mile

• The total cost of the taxi ride

• The flat pickup rate

• The number of miles driven

A company sells handmade candles and the price \( P \) in dollars is determined by the equation \( P = 15 + 8x \), where \( x \) is the number of candles purchased. What does the y-intercept in this equation represent?

• The price per candle

• The total price for the candles

• The base price regardless of the number of candles purchased

• The number of candles purchased

A utility company charges a monthly service fee plus a charge for each unit of electricity used. The monthly bill \( B \) in dollars can be modeled by the equation \( B = 25 + 0.12x \), where \( x \) is the number of units of electricity used. In this context, what does the slope represent?

• The monthly service fee

• The charge for each unit of electricity used

• The total monthly bill

• The number of units of electricity used

A personal trainer charges a monthly membership fee plus a fee for each personal training session. If the total monthly cost \( C \) in dollars is given by \( C = 40 + 30x \), where \( x \) is the number of personal training sessions, what does the y-intercept indicate?

• The fee for each personal training session

• The total monthly cost

• The monthly membership fee

• The number of personal training sessions