Maths-

General

Easy

Question

# A Scuba diver starts a dive with a full tank of oxygen. While diving, She breathes at a constant rate. She checks the gauge after 22 minutes. What does a graph of the function look like ?

Hint:

### Notice the readings in the given figure

## The correct answer is: (- a)/44 x + a

### SOL – It is given that the scuba driver breathes at a constant rate.

Rate of change = Slope of the graph = k (constant)

Graph is a straight line because a straight – line graph has constant slope.

Note – We can also find linear function of the graph.

Let amount of oxygen in the tank = y

Time taken = x minutes

In the figure, when time, x = 0 oxygen tank is full.

Let the amount of oxygen when tank is full be a

i.e., x = 0, y = a

In the figure, after 22 min, amount of oxygen is reduced to half.

i.e. x = 22, y =

Using two – point form, equation of the line is

(y – y_{1}) = m (x – x_{1}) where m =

Slope =

=. = =

Equation of line is (y – a) =(x – 0)

y – a = x

y = x + a

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