Linear Function

A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing r radios is given by the function c(r) = 5.25r + 125, then the value 5.25 best represents 

• the start-up cost
  
• the profit earned from the sale of one radio 
• the amount spent to manufacture each radio 
• the average number of radios manufactured 

Tags

CCSS.HSF.LE.B.5

The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x) = 8600 − 22x . In this function, x represents the number of 

• computers repaired per week 
• hours worked per week
  
• customers served per week 
• days worked per week 

Tags

CCSS.HSF.LE.B.5

The cost of airing a commercial on television is modeled by the function C(n) = 110n + 900, where n is the number of times the commercial is aired. Based on this model, which statement is true? 

• The commercial costs $0 to produce and $110 per airing up to $900. 
• The commercial costs $110 to produce and $900 each time it is aired. 
• The commercial costs $900 to produce and $110 each time it is aired. 
• The commercial costs $1010 to produce and can air an unlimited number of times. 

Tags

CCSS.HSF.LE.B.5

A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D = 280 − 59t can be used to represent the distance, D, from Buffalo after t hours. In this equation, the 59 represents the 

• car's distance from Albany 
• speed of the car
  
• distance between Buffalo and Albany 
• number of hours driving 

Tags

CCSS.HSF.LE.B.5

A plumber has a set fee for a house call and charges by the hour for repairs. The total cost of her services can be modeled by c(t) = 125t + 95. Which statements about this function are true?
I. A house call fee costs $95.
II. The plumber charges $125 per hour.
III. The number of hours the job takes is represented by t.

• I and II, only
  
• I and III, only
  
• II and III, only
  
• I, II, and III 

Tags

CCSS.HSF.LE.B.5

The student used the equation of the line
y = −0.09x + 9.24 to model the data. What does the rate of change represent in terms of these data? 

• The average number of hours of sleep per day increases 0.09 hour per year of age. 
• The average number of hours of sleep per day decreases 0.09 hour per year of age. 
• The average number of hours of sleep per day increases 9.24 hours per year of age. 
• The average number of hours of sleep per day decreases 9.24 hours per year of age. 

Tags

CCSS.HSF.LE.B.5

Which statement can be justified by using the graph? 

• If 10 gallons of gas was purchased, $35 was paid. 
• For every gallon of gas purchased, $3.75 was paid. 
• For every 2 gallons of gas purchased, $5.00 was paid. 
• If zero gallons of gas were purchased, zero miles were driven. 

Tags

CCSS.8.EE.B.5

  Given the graph of the line represented by the equation f(x) = −2x + b, if b is increased by 4 units, the graph of the new line would be shifted 4 units 

• right
• up
• left
• down

The value of the x-intercept for the graph of 4x − 5y = 40 is 

• (10,0)
• (4/5,0)
• (-4/5,0)
• (-8,0)

Which function has the same y-intercept as the graph below? 

• y=(12−6x)/4
• 27+3y=6x 
• 6y+x=18 
• y + 3 = 6x 

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3