Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Given:
Steven charges $31.25 for 5 hours and $43.75 for 7 hours.
To find:
The equation that represents the relationship.
Solution:
Let x represent the number of hours Steven babysits and y represent the amount he charges.
Then the two points on the function are (5,31.25) and (7,43.75). So, the equation of the line that passes through these two points is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-31.25=\dfrac{43.75-31.25}{7-5}(x-5)[/tex]
[tex]y-31.25=\dfrac{12.5}{2}(x-5)[/tex]
[tex]y-31.25=6.25(x-5)[/tex]
On further simplification, we get
[tex]y-31.25=6.25(x)-6.25(5)[/tex]
[tex]y-31.25=6.25x-31.25[/tex]
[tex]y=6.25x-31.25+31.25[/tex]
[tex]y=6.25x[/tex]
Therefore, the required equation for the given situation is [tex]y=6.25x[/tex].
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. 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.