Question

I need help ASAP! Thankies! It's only a small amount of points though...

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.

(I spaced it out so you wouldn't get a headache...see how thoughtful I am?)

Answer 1

assumig the yintercept=0

A. ok
so we need in form
y=mx+b (I like that)
m=slope
b=yintercept

slope is (y2-y1)/(x2-x1)
cost=y's
time=x's
1 week=7 days

(5,465) and (7,625)

(625-465)/(7-5)=160/2=80
y=80x+b
find b
inpou oint (5,465)
x=5
y=465
465=80(5)+b
465=400+b
minus 400 both sides
65=b
equation is
y=80x+65

B. replace y with f(x)

C. input values for x and get values for y

exmaple
(0,65)
(1,145)
(2,225)
etc





A. y=80x+65
B. f(x)=80x+65
C. sub some values for x and get values for y

Answer 2

For Part A, list the given numbers in the problem
465 - 5 days (given)
625 - 7 days (given)

`(625 - 465)/(7 - 5)`

`(160)/(2) = 80`
80 = slope
y = mx + b form
y = 80x + b
(5, 465) - plug it in to y = 80x + b
465 = 80(5) + b
465 = 400 + b
bring the 400 over to the left side by subtracting 400 to both sides
465 - 400 = b
65 = b, plug this into the equation (y = 80x + b)
Your new equation should be y = 80x + 65
For Part B, function notation = f(x) = nx + 1
f(x) = 80x + 65
For Part C, plot two points on the graph with y = 80x + 65 and connect them together
x-axis = days, while y-axis = rent in dollars, I suggest you use the points 0 and 10 for x, so put 0 and 10 into the slope formula y = 80x + 65, and you should find y, but this part is really up to you to find out which numbers to use. I'll just do it now anyways
y = 80(0) + 65
y = 0 + 65
y = 65
(0,65)
y = 80(10) + 65
y = 800 + 65
y = 865
(10,865)
TLDR;
Part A:
y = 80x + 65
Part B:
f(x) = 80x + 65
Part C:
(0,65)
(10,865)