A) The equation of the line is:
B) The slope is the amount of money earned for one hour of work
Step-by-step explanation:
A)
In order to find the linear function that models the relationship between the number of hours worked and the money earned, we need to find the slope of the function.
Here we have:
Number of hours worked = x = independent variable
Money earned = y = dependent variable
Therefore, the slope can be found as
where:
is the money earned when x = 30 h
is the money earned when x = 55 h
Substituting,
Now we can find the equation of the line using:
And susbtituting,
B)
In part A, we found that the slope of the line is
m = 35 $/h
The slope of the line represents the rate of increase of the dependent variable (the money) with respect to the rate of increase of the independent variable (the number of hours worked).
In other words, the slope of the line represents the amount of money earned by a worker during one hour of work. So, this means that if the technician works 1 hour, he earns 35$; if he works 2 hours, he earns 70$; and so on.
Learn more about slope of a line:
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