Maths
Grade-10
Easy

Question

For the square root function f left parenthesis x right parenthesis equals square root of x, the average rate of change between x = 5& x = q is 0.185. What is the value of q?

  1. 8
  2. 9
  3. 10
  4. 11

hintHint:

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

The correct answer is: 10


    Let q = 10,
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell f left parenthesis 5 right parenthesis equals square root of 5 equals 2.236 end cell row cell f left parenthesis 10 right parenthesis equals square root of 10 equals 3.162 end cell end table
    Average rate equals fraction numerator f left parenthesis 10 right parenthesis minus f left parenthesis 5 right parenthesis over denominator 10 minus 5 end fraction equals fraction numerator 3.162 minus 2.236 over denominator 5 end fraction equals 0.185
    Therefore, value of q = 10

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