Air Conditioning Service. Encore Air Conditioning charges $36 per hour plus a $30 service charge. If refrigerant is needed in the air conditioner, there is a $20 per pound charge. Let y denote the total cost to the customer, x1 the number of hours it takes for the job, and x2 the amount of refrigerant needed (in pounds).a. Obtain the equation that expresses y in terms of x1 and x2.b. Find b0, b1, and b2.c. What is the change in total cost for a job if the number of hours for the job does not change, but the amount of refrigerant increases by 1 pound?d. What is the cost of a job that lasts 2 hours and requires 5 pounds of refrigerant?
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.
Air Conditioning Service. Encore Air Conditioning charges $36 per hour plus a $30 service charge. If refrigerant is needed in the air conditioner, there is a $20 per pound charge. Let y denote the total cost to the customer, x1 the number of hours it takes for the job, and x2 the amount of refrigerant needed (in pounds).
a. Obtain the equation that expresses y in terms of x1 and x2.
b. Find b0, b1, and b2.
c. What is the change in total cost for a job if the number of hours for the job does not change, but the amount of refrigerant increases by 1 pound?
d. What is the cost of a job that lasts 2 hours and requires 5 pounds of refrigerant?
Step by step
Solved in 3 steps with 3 images
