Mathematics
Grade10
Easy

Question

There are 240 seniors in Kathryn’s school. Her class is planning a trip and is taking buses that hold a maximum of 50 passengers. Assume that the trip is optional.
what is the average rate of change of the function over the interval from 40 to 60?

  1. 0.05
  2. 0.1
  3. 10
  4. 1.25

Hint:

The ceiling function returns the smallest nearest integer which is greater than or equal to the specified number whereas the floor function returns the largest nearest integer which is less than or equal to a specified value.

The correct answer is: 0.05


    x = 40 , f(x) = ceiling(40 over 50) = 1 ; (40 ,1)
    x = 60 , f(x) = ceilingleft parenthesis 60 over 50 right parenthesis = 2 ; (60 ,2)
    Rate of change (m) = fraction numerator left parenthesis 2 space minus space 1 right parenthesis over denominator left parenthesis 60 space minus space 40 right parenthesis end fraction = 1 over 20 = 0.05.
    Hence, the correct option is B.

    The ceiling function is also known as smallest integer function and the floor function is also known as the greatest integer function.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.