Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
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
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
