AnimeGhoul8863:

The table below shows the squares of different numbers: Number (x) 2 −2 3 −3 Square of the number (y) 4 4 9 9 Part A: Does the table represent y as a function of x? Justify your answer. (5 points) Part B: The total cost f(x), in dollars, for renting a rowboat for x hours is shown below: f(x) = 20 + 3x What is the value of f(150), and what does f(150) represent? (5 points) -----

10 months ago
AnimeGhoul8863:

Part A: Yes The table represents y as a function of x Because the function is f(x) = x^2 X= inputs Y= Outputs For example f(x) = x^2 f(-3) = (-3)^2 input= x = -3 f(-3) = 9 output = 9 Part B: 150=x f(150) = 20+3*150 f(150) = 20+300 f(150) = 320 it represents 150 hours of renting a row boat = 320 dollars

10 months ago
AnimeGhoul8863:

the answer @dude

10 months ago
dude:

Looks right!

10 months ago
AnimeGhoul8863:

i really have to get like 100 on this or ill fail please make sure i do good on these

10 months ago
AnimeGhoul8863:

this one i havent answered yet tho so can you help me with it

10 months ago
dude:

Well for part 1 \[x^2\\ ~(2)^2=4\\ ~(-2)^2=4\\ Likewise~with~3~and~-3\]

10 months ago
AnimeGhoul8863:

what

10 months ago
dude:

Part A is right lol I just rewrote your work

10 months ago
AnimeGhoul8863:

this is the question

10 months ago
AnimeGhoul8863:

Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hours, the velocity of the car is 59 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equation obtained in Part A for the first six hours? (5 points)

10 months ago
dude:

Well what are the x and y values?

10 months ago
AnimeGhoul8863:

x=51 y=59?

10 months ago
dude:

I meant what do they represent?

10 months ago
AnimeGhoul8863:

ummmmmmmmmmm

10 months ago
AnimeGhoul8863:

my mind is literally blank i dont know

10 months ago
dude:

What are we measuring?

10 months ago
AnimeGhoul8863:

km

10 months ago
dude:

Yes speed and?

10 months ago
AnimeGhoul8863:

distance

10 months ago
dude:

No \[Hint:~"After~{three}~\underline{\color{red}{hours}},~the~velocity~of~the~car~is~51~km/h."\]

10 months ago
AnimeGhoul8863:

velocity

10 months ago
dude:

Hours is not velocity x'D

10 months ago
AnimeGhoul8863:

oh i didnt see the under line

10 months ago
AnimeGhoul8863:

so speed and hours

10 months ago
dude:

Yes, "hours" was underlined and colored i don't understand how you didn't see it x'D

10 months ago
AnimeGhoul8863:

look man ive been doing test since 9 Am give me a little slack im exhausted

10 months ago
dude:

~Hours is the dependent variable and speed is the dependent

10 months ago
AnimeGhoul8863:

so the variables would be S and H

10 months ago
AnimeGhoul8863:

am i right

10 months ago
dude:

Variable letters don't really matter but sure

10 months ago
AnimeGhoul8863:

the question ask for Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times.

10 months ago
AnimeGhoul8863:

ok lets focus its 7 pm and i want to be done with school

10 months ago
dude:

Lets find the distance between these points

10 months ago
AnimeGhoul8863:

ok good

10 months ago
dude:

\[\frac{y_2-y_1}{x_2-x_1}=\frac{59-51}{5-3}=?\]

10 months ago
AnimeGhoul8863:

=4

10 months ago
dude:

Right, that was the slope formula, so \[y=mx+b\\ y=4x+b\] To find b, we can substitute a point given in the question

10 months ago
dude:

\[y=4x+b~~~~"After~{three}~{{hours}},~the~velocity~of~the~car~is~51~km/h.""\\ (x,y) ~x=hours,~~~y=velocity\\ (3,51)\\ \color{green}{51=4(3)+b}\\ 51=12+b\\ Subtract~12~from~both~sides\\ 39=b\\~\\ So~\color{red}{y=4x+39}\]

10 months ago
AnimeGhoul8863:

soooo the answer for part A is x=hours down to +39

10 months ago
dude:

No, the equation is in red!! ;-;

10 months ago
AnimeGhoul8863:

ik but you have to show work

10 months ago
dude:

I just did!!!! e.e

10 months ago
AnimeGhoul8863:

you said "the equation is in red" like that was the only answer i said i neede dto add work so i am

10 months ago
AnimeGhoul8863:

any way i need part b and one more question and im done

10 months ago
dude:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @dude \[y=4x+b~~~~"After~{three}~{{hours}},~the~velocity~of~the~car~is~51~km/h.""\\ (x,y) ~x=hours,~~~y=velocity\\ (3,51)\\ \color{green}{51=4(3)+b}\\ 51=12+b\\ Subtract~12~from~both~sides\\ 39=b\\~\\ So~\color{red}{y=4x+39}\] \(\color{#0cbb34}{\text{End of Quote}}\) The work is right above that line e.e

10 months ago
AnimeGhoul8863:

so its 6,63

10 months ago
dude:

Do you understand what it means?

10 months ago
AnimeGhoul8863:

yes

10 months ago
AnimeGhoul8863:

last question

10 months ago
AnimeGhoul8863:

The coordinate plane below represents a town. Points A through F are farms in the town. graph of coordinate plane. Point A is at 2, negative 3. Point B is at negative 3, negative 4. Point C is at negative 4, 2. Point D is at 2, 4. Point E is at 3, 1. Point F is at negative 2, 3. Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points) Part C: Chickens can only be raised in the area defined by y < 5x − 3. Explain how you can identify farms in which chickens can be raised. (2 points)

10 months ago