I need helop!A lawn a company charges an initial fee of $200.00 plus $50 per hour for labor costs. If h represents labor hours and c represents the cost what is the total cost equation and how do I work this out step by step, I need to understnad this! Thank You
C = 50h + 200
Cost = how many hrs they work times price per hr. + initial fee of 200
To find the total cost equation for the lawn company, we'll need to consider the initial fee and the hourly labor costs.
Let's break down the equation step by step:
Step 1: Identify the initial fee
The initial fee is given as $200.00. This means that regardless of the number of labor hours (h), there will always be a fixed cost of $200.00.
Step 2: Consider the labor costs
The labor costs are $50 per hour. This means for each labor hour (h), the cost will increase by $50.
Step 3: Write the total cost equation
The total cost equation can be expressed as follows:
c = 200 + 50h
In this equation, c represents the total cost and h represents the number of labor hours.
Step 4: Solve the equation
To calculate the total cost, you need to know the total number of labor hours (h) required. Once you have that, substitute the value of h into the equation and perform the necessary calculations.
For example, if the company worked for 3 hours, we would plug in h = 3 into the equation:
c = 200 + 50(3)
c = 200 + 150
c = 350
So, if the company worked for 3 hours, the total cost would be $350.
You can use this equation to calculate the total cost for any given number of labor hours by substituting the value of h into the equation and simplifying the expression.