noname
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

every time x increases by 1,y decreases by 3,and when x is -6,yis-3.which function models the realation ship between x and y?
A)y= -6x-21
B)y= -6x-3
C)y= -3x-3
D)y= -3x-21

Sagot :

thompzac
I think that it would be B because -6x-3 seems to follow the rules given here.

Answer:

D. [tex]y=-3x-21[/tex]

Step-by-step explanation:

We have been given that every time x increases by 1,y decreases by 3. This means that slope of our given line is negative 3.

We will use slope-intercept form of equation to find the required function.

[tex]y=mx+b[/tex], where,

m = Slope of line,

b= The y-intercept.

Upon substituting [tex]m=-3[/tex] and [tex]x=-6[/tex] and [tex]y=-3[/tex] in slope-intercept form of equation, we will get,

[tex]-3=-3\times -6+b[/tex]

[tex]-3=18+b[/tex]

[tex]-3-18=18-18+b[/tex]

[tex]-21=b[/tex]

Upon substituting [tex]m=-3[/tex] and [tex]b=-21[/tex] in slope-intercept form of equation, we will get our required equation as:

[tex]y=-3x-21[/tex]

Therefore, option D is the correct choice.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.