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Sagot :
The cost including the membership fee and the rate per class at each of
the sites can be expressed using linear functions.
Correct Response;
- The statement that describes the functions are; LearnCenter charges a higher membership fee but a lower rate per class.
Method by which the above response is obtained;
The possible points on the graph are;
Two points on the LearnCenter graph, (0, 50), and (1, 70).
Two points on the EduWorld graph, (0, 20), and (1, 60).
Required:
The statement that best describes the cost function at each site.
Solution:
The slope, m₁ of the LearnCenter graph is found as follows;
[tex]\displaystyle Slope, \ m_1 = \frac{70 - 50}{1 - 0} = \mathbf{20}[/tex]
The equation of the LearnCenter graph in point and slope form is therefore;
y - 50 = 20·x
- y = 20·x + 50
The slope, m₂, of the EduWorld graph is found as follows;
[tex]\displaystyle m_2 = \frac{60 - 20 }{1 - 0} = \mathbf{ 40}[/tex]
The equation is; y - 20 = 40·x
Which gives;
- y = 40·x + 20
The above equations are linear functions of the form y = m·x + c
Where;
c = The y-intercept = The membership fee (amount to be paid before taking classes)
m = The slope = The rate per class
Interpretation of graph equations;
The interpretation of the above equations are as follows;
- The membership fee of LearnCenter is $50.
- Rate per class at LearnCenter is $20
- The membership fee of EduWorld is $20
- The rate per class at EduWorld is $40
The correct option is therefore;
- LearnCenter charges a higher membership fee but a lower rate per class
Possible question options are;
LearnCenter charges both a higher membership fee and rate per class.
LearnCenter charges both a lower membership fee and rate per class.
LearnCenter charges a higher membership fee but a lower rate per class.
LearnCenter charges a lower membership fee but a higher rate rate per class.
Learn more about linear functions here:
https://brainly.com/question/11867840
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