The equation to determine the weekly earnings of an employee at the hamburger shack is given by w(x), where x is the number of h
ours worked. w(x) = 10x, 0 ≤ x ≤ 40 15(x − 40) + 400, x > 40 determine the difference in salary, in dollars, for an employee who works 52 hours versus one who works 38 hours. determine the number of hours an employee must work in order to earn $445. explain how you arrived at this answer.
1 answer:
To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is $200.
b) An employee must work 43 hours to earn $445.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is $200.
b) An employee must work 43 hours to earn $445.
You might be interested in
Answer:
Step-by-step explanation:
Given the following expression:
You need to substitute the given values of "a" and "b" into the expression. Notice that these values are:
Then;
Now you must solve the multiplications:
The final step is to add the numbers. Therefore, you get the following answer:
Answer:
The correlation coeffcient for this case was provided:
r =0.934
And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .
We can also find the who represent the determination coefficient and we got:
And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
The correlation coeffcient for this case was provided:
r =0.934
And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .
We can also find the who represent the determination coefficient and we got:
And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables