Modeling with Linear Functions

Which equation represents the following situation:
The cost of setting up a lemonade stand is $20.  Each glass of lemonade sells for $1.50

• y = 1.50x + 20
• y = 20x + 150
• y = 1.50x - 20
• y = -1.50x +20

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Joy is saving money.  After 2 months she has $325, and after 4 months she has $575.  Which equation represents the total money Joy has saved after x months?

• y = 250x + 325
• y = 125x + 325
• y = 125x + 575
• y = 125x + 75

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A car leaves Albany and travels west toward Buffalo.  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

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 TV is modeled by the function C(n) = 110n + 900, where n is the number of times the commericial is aired.  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.