A contractor purchases a piece of equipment for $36,500 that costs an average of $9.25 per hour for fuel and maintenance. The equipment operator is paid $13.50 per hour, and customers are charged $30 per hour. (a) Write a linear equation for the cost C of operating this equipment for t hours. (b) Write a linear equation for the revenue R derived from t hours of use. (c) Find the break-even point for this equipment by finding the time at which R = C.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A contractor purchases a piece of equipment for $36,500 that costs an average of $9.25 per hour for fuel and maintenance. The equipment operator is paid $13.50 per hour, and customers are charged $30 per hour. (a) Write a linear equation for the cost C of operating this equipment for t hours. (b) Write a linear equation for the revenue R derived from t hours of use. (c) Find the break-even point for this equipment by finding the time at which R = C.
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