The graph below shows how much a plumber charges for jobs that take different amounts of time which equation shows the relationship between c what the plumber charges and h the hours worked on a job
C=45h
H=45c
C=90h
H=90c
The equation that shows the relationship between c (what the plumber charges) and h (the hours worked on a job) is:
C = 45h
The equation that shows the relationship between what the plumber charges (C) and the hours worked on a job (h) is:
C = 45h
The equation that shows the relationship between what the plumber charges (C) and the hours worked on a job (h) is C = 45h.
To understand how we arrive at this equation, let's analyze the given information. The graph shows that the plumber charges different amounts for jobs that take different amounts of time. We want to find the equation that relates the charges (C) to the hours worked (h).
Looking at the options, we can rule out H = 45c and H = 90c because they relate hours worked (h) to the charges (C), while we want an equation that relates charges (C) to hours worked (h).
We are left with two options: C = 45h and C = 90h. To determine the correct equation, we need to consider the information given in the graph. According to the graph, the cost (C) increases at a constant rate with the number of hours worked (h). This indicates a linear relationship between C and h.
In a linear equation of the form y = mx + c, where y is the dependent variable (C in this case), x is the independent variable (h in this case), m represents the slope (rate of change), and c represents the y-intercept (constant offset).
Looking at the equation options, C = 45h fits the criteria for a linear equation. Here, the coefficient 45 represents the slope, which means that for every hour worked (h), the plumber charges $45 (C).
Thus, the correct equation that shows the relationship between what the plumber charges (C) and the hours worked on a job (h) is C = 45h.