Evaluate Function Equations

Jorge will cut your grass for $8 per hour,h. Write an equation that represents Jorge's total charge, c.

• Variables are h = number of hours, c= total charge

  Algebraic Equation is c = 8h

  Input = number of hour, output = total charge

  Equation in Function Notation is c(h) = 8h

• Variables are c = number of hours, h= total charge

  Algebraic Equation is h = 8c

  Input =total charge , output = number of hour

  Equation in Function Notation is h(c) = 8c

• Variables are h = number of hours, c= total charge

  Algebraic Equation is c = 8 + h

  Input = number of hour, output = total charge

  Equation in Function Notation is c(h) = 8h

• Variables are h = number of hours, c= total charge

  Algebraic Equation is c = 8 - h

  Input = number of hour, output = total charge

  Equation in Function Notation is c(h) = 8h

Jorge will cut your grass for $8 per hour,h. Write an equation that represents Jorge's total charge, c.

Evaluate the function at h = 6 and write the meaning in words.

• 8(6) = 48

  After 6 hours, the total charge was $48.

• 8+6 =14

  After 6 hours, the total charge was $14.

• 8-6 = 2

  After 6 hours, the total charge was $2.

• 8(6) = 48

  After 48 hours, the total charge was $6.

A hot air balloon descends from a starting height of 130 ft. Its altitude decreases by 4 ft every minute. Write an equation that can be used to determine the height of the balloon, h, in relation to time,m. Which of the following are correct about the word problem above?

• Variables are h = height of balloon, m= time in minutes

  Algebraic Equation is h = 130 - 4m

  Input = time in minutes, output = height of balloon

  Equation in Function Notation is h(m) = 130 - 4m

• Variables are m = height of balloon, h= time in minutes

  Algebraic Equation is m = 130 - 4h

  Input = time in minutes, output = height of balloon

  Equation in Function Notation is m(h) = 130 - 4h

• Variables are h = height of balloon, m= time in minutes

  Algebraic Equation is h = 130 - 4m

  Input = height of balloon, output = time in minutes

  Equation in Function Notation is h(m) = 130 - 4m

• Variables are h = height of balloon, m= time in minutes

  Algebraic Equation is h = 130 - 4m

  Input = time in minutes, output = height of balloon

  Equation in Function Notation is m(h) = 130 - 4h

A hot air balloon descends from a starting height of 130 ft. Its altitude decreases by 4 ft every minute. Write an equation that can be used to determine the height of the balloon, h, in relation to time,m. Evaluate the function at m = 30 and write the meaning in words.

• 130 - 4(30) = 10

  After 30 minutes, the height was 10 ft.

• 130 + 4(30) = 150

  After 30 minutes, the height was 150 ft.

• 130 - 4(30) = 10

  After 10 minutes, the height was 30 ft.

• 130 + 4(30) = 150

  After 150 minutes, the height was 30 ft.

Jerry earned $85 for each painting, p, plus he received a $500 bonus. Write an equation that describes Jerry's total pay,t.

• Variables are p = number of paintings, t= total pay

  Algebraic Equation is t = 85p +500

  Input = number of paintings, output = total pay

  Equation in Function Notation is t(p) = 85p + 500

• Variables are p = total pay, t= number of paintings

  Algebraic Equation is t = 85p +500

  Input = number of paintings, output = total pay

  Equation in Function Notation is t(p) = 85p + 500

• Variables are p = number of paintings, t= total pay

  Algebraic Equation is t = 85p +500

  Input = total pay, output =number of paintings

  Equation in Function Notation is t(p) = 85p + 500

• Variables are p = number of paintings, t= total pay

  Algebraic Equation is p = 85t +500

  Input = number of paintings, output = total pay

  Equation in Function Notation is p(t) = 85t + 500

Jerry earned $85 for each painting, p, plus he received a $500 bonus. Write an equation that describes Jerry's total pay,t. Evaluate the function at p = 6 and write the meaning in words.

• 85(6) + 500 = 1010

  After 6 paintings sold, the total pay was $1010.

• 85(6) - 500 = 10

  After 6 paintings sold, the total pay was $10.

• 85(6) + 500 = 1010

  After 1010 paintings sold, the total pay was $6.

• 85(6) - 500 = 10

  After 10 paintings sold, the total pay was $6.

Which graph best represents the solution set of y < 3x - 4?

Which set of coordinates does not represent a function?

• {(0,4), (1,4), (2,4), (3,4)}

• {(0,0), (1,1), (2,2), (3,3)}

• {(10,1), (15,-2), (20, -3), (0,0)}

• {(4,0), (4,1), (4,2), (4,3)}

Which graph best represents

- 5y = -6x +15?

Solve the system of equations. y = 4x+1 and 3x + 2y = 13

​ (a)  

• (1, 5)

• (5, 1)

• (0.25, 2)

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