The cable company increase the cost of the basic cable package by 15%. Write the function of g(x),which gives the new cost per month, as a transformation
if the cost is x and it is increased by .15x
g(x) = x + .15x or g(x) = 1.15x
To write the function g(x) that gives the new cost per month, as a transformation, we can use the equation:
g(x) = x + 0.15x
Where:
- x represents the original cost of the basic cable package per month,
- 0.15 represents the 15% increase.
By adding 0.15x to the original cost, we account for the 15% increase. The result, g(x), will give the new cost per month.
To write the function g(x) that gives the new cost per month after a 15% increase, we can use the formula for calculating percentage increase.
The formula for calculating percentage increase is:
New Value = Original Value + (Percentage Increase * Original Value)
In this case, the original value is the cost of the basic cable package and the percentage increase is 15%. So, the function g(x) can be written as:
g(x) = x + (0.15 * x)
Simplifying the equation, we have:
g(x) = x + 0.15x
Combining like terms, we get:
g(x) = 1.15x
Therefore, the function g(x) which gives the new cost per month after a 15% increase can be expressed as g(x) = 1.15x.