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Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.
And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:
The savings function is given as
The allowance function is given as:
The new function that combined his savings and his allowances is calculated as:
Substitute values for s(x) and a(x)
Open bracket
Collect like terms
Read more about functions at:
Answer:
y - 1.4x = - 6.8
Step-by-step explanation:
To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.
Slope:
Use point slope form: y - y₁ = m(x - x₁)
Plug in x = 27, y = 31, and m = 1.4
y - 31 = 1.4(x - 27)
y - 31 = 1.4x - 37.8
y = 1.4x - 6.8
Convert this into standard form: ax + by = c
y - 1.4x = - 6.8