write linear model for equation: to rent a jet-ski, it cost $60 per hour plus $30 fee for maintenance.
The cost in dollars, C, of renting a carpet cleaner is given by the linear equation
C = 20 + 25x, where x is the number of days.
Use this model to find the cost of renting the unit for 11 days.
60n + 30
To construct a linear model for the equation, we need to break down the total cost into two components: the cost based on the hours and the fixed maintenance fee.
Let's denote:
x = number of hours
y = total cost in dollars
Based on the given information, we can deduce the following:
1. The cost per hour is $60.
2. There is a fixed maintenance fee of $30, regardless of the number of hours.
Therefore, the linear equation can be represented as:
y = 60x + 30
In this equation, the "60x" represents the cost per hour multiplied by the number of hours, and the "+30" represents the fixed maintenance fee.
So, for example, if you want to calculate the total cost for renting a jet-ski for 3 hours, you can substitute x=3 into the equation:
y = 60(3) + 30
y = 180 + 30
y = 210
In this case, the total cost would be $210.