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. (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)

Answer 1

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

y = mx + b
slope(m) = 80
(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
standard form : 80x - y = -65 <===

function notation :
y = 80x + 65
f(x) = 80x + 65 <== function notation

graphing :
y axes represents total rent
x axes represents number of days

y = 80x + 65
y intercept is (0,65)
slope = 80
x intercept is  (-13/16,0)