Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625. Write an equation in the standard form to represent the total rent (y) that Max has to pay for renting the motorbike for x days. (4 points) Part B: Write the equation obtained in Part A using function notation. (2 points) Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

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Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625. Write an equation in the standard form to represent the total rent (y) that Max has to pay for renting the motorbike for x days. (4 points) Part B: Write the equation obtained in Part A using function notation. (2 points) Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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part A: Write an equation in the standard form to represent the total rent (y) that Max has to pay for renting the motorbike for x days. (4 points)
@peachpi I already have part A: though.

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  • phi
what did you get for A?
part A: y=65+80(x) plug in 5. 65+80(5) y=65+400. y=465. when he rents the bike for five days, he pays 465. so if he rents it for a week he would be renting it for7 days (x)days. so y=65+80(7) 65+560. y=625.
  • phi
that is the correct equation, but I do not know what the rest is. If you want to show your work, start by saying you have these two pairs: (5,465) and (7,625) and find the equation of a line through two points.
the rest would be what he has to pay in the week and I had to show how I got to 625
  • phi
first find the slope = change in y divided by change in x = (625-465)/(7-5) = 160/2 = 80 so y= 80x + b using (5,465) in that to find "b" 465= 80*5 + b 465= 400 + b b= 465-400 = 65 so the equation is y= 80x+65
  • phi
part B, use "function notation" I think they want you to write f(x) = 80x+65
ok. and so for part C?
  • phi
part C. I would say , plot two points on the line, and "connect the dots" x axis is days y axis is rental in dollars
  • phi
to make it fit on the graph better, you might want each "step" in the y-direction be say 20 or 40 dollars (rather than 1)
ok thank you.

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