Question

Linear functions and graphs please help!

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years while profits increased $7.5 million per year. Select the correct graph of this function.

Answer 1

@Easyaspi314

Answer 2

What you are looking for, is a graph that after 4 years has a profit of $10 million, and every year after that is having a profit of $7.5 million dollars. Thats at least the way I am reading the question. (Although I do not like the wording of the question as it is a bit ambiguous).

In any event, which graph shows this?

What do you think the graph should be?

Answer 3

Is that how you read the question or is something not clear to you as well?

Answer 4

Third one? I didn't really understand the wording.

Answer 5

Honestly, I'm a bit troubled with the wording of this question.

Answer 6

if you had to chose, which one would it be? some of these questions are ridiculous!

Answer 7

Yes, the 3rd one shows 10 million dollars after 4 years, then about 7.5 million in profit in the year after that. I think thats the closest.

Answer 8

I would toss this question as it is quite ambiguous. It doesnt say that every year after 4 years it makes $7.5 million.

Answer 9

Any other questions you have?

Answer 10

@Lena772

Answer 11

yes please if you don't mind. would you like me to post it as a new question?

Answer 12

Not needed..just post it here.

Answer 13

@Lena772


?

Answer 14

I apologize, my internet went down.

Answer 15

Choose the point-slope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope of -3.

y - 6 = -3x - 3

y - 6 = -3(x + 1)

y = -3x + 3

3x + y = 3

Answer 16

you need the slope and a point that the line passes through.

We have that here.

We have the slope is -3 and passes through (-1,6).

General form for point-slope is:

y - 6 = -3(x - (-1))

y - 6 = -3(x + 1)

Answer 17

You should be familiar with the general form a point-slope equation:

y - y1 = m(x - x2)

m = slope
y1 and x1 are the coordinates of the point that the line passes through.

In this case, x1 = -1 and y2 = 6.

Answer 18

ok thank you, can you help with another?

Answer 19

yes..post it here.

Answer 20

Given the equation y - 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.

-three fourthsx + y = 10

3x - 4y = -40

y = three fourthsx + 12

y = three fourthsx + 10

Answer 21

y - 4 = 3/4(x-8)

Standard form means we want it in y = mx + b form

So we will simplify the expression and solve for y.

Answer 22

We will use the Distributive Law on the right side, so we get

y - 4 = (3/4)x + 6 (since 3/4 of 8 is 6)

Now, we just add 4 to both sides of the equation, we get

y = (3/4)x + 2

Answer 23

Sorry...that should read y = (3/4)x + 10

@Lena772

Answer 24

ok thank you sooo much! i don't want to annoy you but if you can tell me if i did another right that'd be great

Answer 25

Sure. Post the question here. Give me your answer too.

Answer 26

Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).

y + 3 = -5(x - 2)

y - 2 = -5(x + 3)

y + 3 = -one fifth(x - 2)

y - 2 = -one fifth(x + 3)

Answer 27

i put the 2nd one

Answer 28

Incorrect.

Answer 29

Ok then it's the last one?

Answer 30

Lets find the slope between (-3,2) and (2,1).

Slope = change in y-values divided by change in x-values

slope = (1 - 2)/(2 - (-3))
= -1/5

slope is -1/5

So whats the right choice now?

Answer 31

Last one?

Answer 32

yes

Answer 33

Ok I have just one more question if you don't mind

Answer 34

Did you see your error in finding the slope?

Answer 35

Sure. whats the last question?

Answer 36

yes i was supposed to do y2-y1/x2-x1 1-2/2--3 which is -1/5

Answer 37

A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.

f(x) = - 4x + 60

f(x) = 4x + 60

f(x) = - 4x + 80

f(x) = 4x + 80

Answer 38

We have two points, (5,60) and (10,40).

So lets write an equation of the line through these two points.

First, is slope.

slope = (40-60)/(10-5) = -20/5 = -4

So the slope is 4.

Can you write the equation of the line whose slope is -4 passing through any one of the two points?

Answer 39

Slope is -4. (I typed 4 before..thats incorrect)

Answer 40

y=-4x+60

Answer 41

No.

Answer 42

Sorry

Answer 43

Watch.

y = mx + b

y = -4x + b

what is b? Pick any of the 2 points, say (5,60). Plug in x = 5, y = 60, we get

60 = -4(5) + b
60 = -20 + b

b = 80

so it is f(x) or y = -4x + 80

Answer 44

@Lena772

Makes sense?

Answer 45

Yes thank you so much for all the help!

Answer 46

Welcome. Good Night.