Problem PageQuestion Customers of a phone company can choose between two service plans for long distance calls. The first plan h
1 answer:
Answer:
The answer is below
Step-by-step explanation:
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal
Answer: Let the number of minutes of calls that will cost the two plans to be equal be x. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls, therefore the total cost in x minutes = $19 + $0.13x
The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls, therefore the total cost in x minutes = $24 + $0.08x
For the two plans to be equal, the cost of the first plan should be equal to the cost of the second plan. i.e.:
$19 + $0.13x = $24 + $0.08x
Solving for x:
It would take 100 minutes of calls for the costs of the two plans to be equal
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Answer:
x=-1/85; y=-283/85; z=2/17
Step-by-step explanation:
Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:
To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:
By applying the Gaussian elimination, the final matrix is the following:
In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:
Answer:
<em>Answer: c) S=20R+60</em>
Step-by-step explanation:
<u>Linear Model</u>
The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).
We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:
S = mR + b
Where m is the slope and b is the intercept.
The slope is found by:
We'll use two sample points (20,460) and (45,960):
m = 20
The value of b can be found by using one of the points, for example (20,460), and having m=20:
460 = 20*20 + b
Thus: b = 460 - 400 = 60.
The equation is:
S = 20R + 60
You can test the other points and check they belong to the same line.
Answer: c) S=20R+60