Question

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Answer 1

The answer is below

Explanation:

A linear function graph can be represented by:

y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.

a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:

`y-y_1=(y_2-y_1)/(x_2-x_1) (x-x_1)\\\\y-100=(400-100)/(20-0)(x-0)\\\\y-100=15x\\\\y=15x + 100`

b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.