Question

WILL GIVE MEDAL TO BEST ANSWER!!!!!!!!!!!! PLEASEE HELP!!!!!! WILL FANN TO!!!!!!!!!!!!!!


part A) maria rented a coat at $285 for 3 days. If she rents the same coat for 6 days, she has to pay a total rent of $510. write an equation in the standard form to represent the total rent (y) that maria has to pay for renting the coat 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 cordinate axes. mention the labes on the axes and the intervals.

Answer 1

A) so you have 2 points \((3,285)\) and \((6,510)\)

how do you get the equation of the line passing thru those 2 points...?

Answer 2

ummmmm make a function??

Answer 3

We need the equation in Standard Form ... but let's start by getting it in Point-Slope form:
\[y-y_1=m \left( x-x_1 \right)\]

^^^ have you seen this equation for a line before?

Answer 4

first find the slope \(m\) of the line...

Answer 5

no acctually i have not

Answer 6

how about the Slope-intercept form\[y=mx+b\]

Answer 7

yes

Answer 8

so let's go about finding m and b


first what's the slope \(m\) of the line ?

Answer 9

how do i do that? sorry im kinda new at this stuff

Answer 10

\[slope \\= m \\= {rise \over run}\\ ={\text{change in }y\over\text{change in }x}\\ ={y_2-y_1 \over x_2-x_1}\]

Answer 11

\[m={rise \over run} = {510-285 \over 6-3}=\color{blue}{225 \over 3}\]

Answer 12

ok thank you thats way easier

Answer 13

\[y={225 \over 3}x+b\]

now finding b ... plug in the x and y values of one of the points and solve for b.