Question

The amount a landscaping company charges can be modeled by the following equation, where c is the total cost of the job and ℎ is the number of hours the job will take:

c=52h+125

Part A. Identify the slope and interpret the slope in terms of the context of the situation.
Part B. Identify the y-intercept and interpret the y-intercept in terms of the context of the situation.

Answer 1

The slope of the landscaping company's cost equation is 52, representing an hourly rate of $52. The y-intercept is 125, signifying a one-time fee of $125 at the start of the job.

Step-by-step explanation:

The landscaping company's cost equation is given by c = 52h + 125, where c is the total cost and h represents the number of hours the job will take.

Part A: Slope Interpretation

The slope of the equation is 52. This represents the hourly rate charged by the landscaping company. For each additional hour of work, the cost will increase by $52.

Part B: Y-Intercept Interpretation

The y-intercept of the equation is 125. This is the company's one-time fee or startup cost that is charged regardless of the hours worked. This means when h equals zero, the initial cost of the job is $125.