Rate of Change

The function f(x) is represented by the

table of values. Which function has

the same rate of change per unit change in x as f(x)?

• g(x) = -0.5x + 1

• g(x) = -2x + 1

• g(x) = 0.5x – 1

• g(x) = 2x – 1

Joseph planted a tree that was 4.5 feet tall. Five years later the tree measured 15.75 feet tall. If the growth of the tree is linear, what was the rate of growth of the tree?

• 2.25 feet per year

• 4.5 feet per year

• 5.625 feet per year

• 11.25 feet per year

What is the average rate of change in weight of the fish from week 8 to week 12?

• 0.0265 ounce per week

• 0.0375 ounce per week

• 0.055 ounce per week

• 0.1125 ounce per week

The rate of change of two functions are being compared. One function, f(x) is represented by the equation f(x) = 5x + 9, while the other function, g(x) is represented in the table. Which is true?

• The rate of change for

  f(x) is less than the

  rate of change for g(x).

• The rate of change for

  g(x) is less than the rate

  of change for f(x)

• The rate of change for

  f(x) and g(x) are equal.

• The rates of change

  cannot be compared

  because f(x) is a linear

  function and g(x) is an

  exponential function.

The table represents how the

area of a circle will change as the radius

increases in length. What is the average rate of change, in square feet per foot, in the area as the radius changes from 2.5 to 5.5 feet?

• 75.36

• 25.12

• -25.12

• 25.76

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

• 6

• -6

• 0

• Undefined

• II and III only

• III and IV only

• II only

• IV only

• 
• 
• 
• 

Which statement describes the rate of change of the line?

• -0.25 kilograms every minute

• -4 kilograms every minute

• +2 kilograms every minute

• +1.5 kilograms every minute

• $.22 per bar of soap

• $2.00 per bar of soap

• $4.50 per bar of soap

• $2.25 per bar of soap