Question

Part A: 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.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

If someone answers this then they are the greatest person ever.

Answer 1

(5,465)(7,625)
slope(m) = (625 - 465) / (7 - 5) = 160/2 = 80

y = mx + b
slope(m) = 80
use either of ur points (5,465)...x = 5 and y = 465
now we sub and find b, the y int
465 = 80(5) + b
465 = 400 + b
465 - 400 = b
65 = b

equation is : y = 80x + 65...but we need it in standard form
y = 80x + 65
-80x + y = 65...multiply by -1 to make x positive
80x - y = -65 <== standard form
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function notation.....f(x) is the same as y

so y = 80x + 65 in function notation becomes f(x) = 80x + 65
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x axis will be days rented
y axis will be total cost

to graph :
y = 80x + 65.....the slope here is 80...the y int is (0,65)

to find the x int, sub in 0 for y and solve for x
0 = 80x + 65
-80x = 65
x = - 65/80 = - 13/16....so ur x int is (-13/16,0)

and if u need to find more points on ur line....
80x - y = -65....sub in any number for x, and solve for y