I have a problem with break even analysis? the question is I'm trying to find the cost between 2 businesses to care for my lawn. The one company has an initial fee of $200+$50an hour for labor cost and the second company has an initial cost of $300+$25an hour for labor cost. If h represents the #of labor hours and c represents the total cost it say wright the total cost equation for each. I got $200+$50h=C

$300+$25h=c
then it says to solve the equation for total cost of lawn care by using desired technique:substitution, elimination, or graphing.
Am I on the right track

yes, on the right track.

Yes, you are on the right track. You have correctly written the total cost equations for each company as follows:

Company 1: Total Cost (C1) = $200 + $50h
Company 2: Total Cost (C2) = $300 + $25h

To solve the equation for the total cost of lawn care, you can use any of the three techniques mentioned: substitution, elimination, or graphing. Let's go through each technique briefly:

1. Substitution: In this method, you solve one equation for one variable and substitute it into the other equation. Let's solve the first equation for C1:

C1 = $200 + $50h

Next, substitute the value of C1 in the second equation:

$200 + $50h = $300 + $25h

Simplify the equation and solve for 'h'.

2. Elimination: In this method, you eliminate one of the variables by performing operations on the two equations. Multiply the first equation by $25 and the second equation by $50 to make the coefficients of 'h' the same. Then, subtract one equation from the other to eliminate 'h' and solve for 'C'.

3. Graphing: In this method, you graph the two equations on a coordinate plane and find the point of intersection, which gives you the values of 'h' and 'C' where the total costs are equal.

Choose the method that you find most comfortable or suitable to solve the equations and determine the total cost of lawn care.