A videoke machine can be rented for PHP.1,000.00 for three days, but for the fourth day onwards, an additional cost of PHP.400.00 per day is added represent the cost of renting a videoke machine as a piecewise function of the number of days it it's rented
To represent the cost of renting a videoke machine as a piecewise function, we need to break it down into different intervals based on the number of days rented.
Let's assume the variable x represents the number of days rented and y represents the cost of renting the videoke machine.
For the given information, we can define the function as follows:
For x ≤ 3:
y = 1000
This represents the cost of renting the videoke machine for the first three days, which is fixed at PHP 1,000.00.
For x > 3:
y = 1000 + 400(x - 3)
This represents the cost of renting the videoke machine from the fourth day onwards. It includes the fixed cost of the first three days at PHP 1,000.00, plus an additional cost of PHP 400.00 per day for each day beyond the third day.
So, the piecewise function can be written as:
y = {1000, for x ≤ 3
{1000 + 400(x - 3), for x > 3
This function will give you the cost of renting the videoke machine based on the number of days rented.