Maths-
General
Easy

Question

The weight of the water exerts pressure on a diver. At a depth of 10 feet, the water pressure is 19.1 pounds per square inch and at a depth of 14 feet, the water pressure is 20.9 psi.
Complete the statements and sketch the qualitative graph of this function.
The input or X- Variable is ……………..
The output or Y- Variable is………….

hintHint:

We can sketch the graph in two ways i.e. either plot the two points and join them or form linear function and the draw the graph.

The correct answer is: 0.45x + 14.6


    SOL – The input or X- Variable is depth of the water in feet
    The output or Y- Variable is pressure exerted on the diver in pounds per square inch
    Acc. to the question, when x1 = 10, y1 = 19.1
    x2 = 14 , y2 = 20.9
    Using two – point form, equation of the line is
    (y – y1) = m (x – x1) where m = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    Slope = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    =. fraction numerator 20.9 minus 19.1 over denominator 14 minus 10 end fraction  = fraction numerator 1.8 over denominator 4 end fraction  = 0.45
    Equation of line is (y – 19.1) = 0.45 (x – 10)
    not stretchy rightwards double arrowy – 19.1 = 0.45 x – 4.5
    not stretchy rightwards double arrowy = 0.45x – 4.5 + 19.1
    not stretchy rightwards double arrowy = 0.45x + 14.6

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