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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………….

Hint:

### 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 x_{1} = 10, y_{1} = 19.1

x_{2 }= 14 , y_{2} = 20.9

Using two – point form, equation of the line is

(y – y_{1}) = m (x – x_{1}) where m =

Slope =

=. = = 0.45

Equation of line is (y – 19.1) = 0.45 (x – 10)

y – 19.1 = 0.45 x – 4.5

y = 0.45x – 4.5 + 19.1

y = 0.45x + 14.6

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