This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.
So, if you choose any input 
, you have two alternative:
- If
(i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen (
) - If
, the ouput will be -1.
So, let's forget about 
for a moment. For any input you choose, the answer is 
. The graph of this function is the bisector of the second and fourth quadrant.
Now remember that there is our special case: you have to "carve a hole" in our line, at , and assing to this point the value -1, instead of what we would expect, i.e. -3.
So, the graph of this function is the line , except for one point (), where we reassign the value to be -1.
The equation that models the total cost is y = 100 + 22.5m
Step-by-step explanation:
Fitness member ship cost = $100
Monthly fee = $25
Discount = 10% on monthly fee
To calculate new monthly fee after discount,
25 - (25*10%) --> 25 - 2.5 --> $22.5
Number of months = m
Fee in m months = 22.5*m = 22.5m
<u>Equation:</u>
(c) is constant which is the membership fee
(x) is the monthly fee $22.5
(m) is the number of months
(y) is the total cost
So,
y = mx + c
y = m(22.5) + 100
y = 100 + 22.5m
Therefore, the equation that models the total cost is y = 100 + 22.5m
Keyword: Equation
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Answer: 100$.
100% - 80% = 20%
20$ / 0.20(20%) =100$
<span>his average speed is </span>12 2/3 kilometers per hour
Answer:
4x + 50 = y
Step-by-step explanation:
Since it is $4 for each audiobook, this means that it is the slope.
Since Jamal started with an initial fee, this makes it the y-intercept.
So the equation is $4 per audiobook = 4x, initial fee of $50 which makes the equation: 4x + 50 = y
<u>Y-intercept</u> is the starting number, in this case, the initial fee.
<u>Slope</u> is the rate at which a value is increasing, in this case, for each audiobook bought, $4 is spent
