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) -----

1 month 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

1 month ago
AnimeGhoul8863:

the answer @dude

1 month ago
dude:

Looks right!

1 month ago
AnimeGhoul8863:

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

1 month ago
AnimeGhoul8863:

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

1 month ago
dude:

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

1 month ago
AnimeGhoul8863:

what

1 month ago
dude:

Part A is right lol I just rewrote your work

1 month ago
AnimeGhoul8863:

this is the question

1 month 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)

1 month ago
dude:

Well what are the x and y values?

1 month ago
AnimeGhoul8863:

x=51 y=59?

1 month ago
dude:

I meant what do they represent?

1 month ago
AnimeGhoul8863:

ummmmmmmmmmm

1 month ago
AnimeGhoul8863:

my mind is literally blank i dont know

1 month ago
dude:

What are we measuring?

1 month ago
AnimeGhoul8863:

km

1 month ago
dude:

Yes speed and?

1 month ago
AnimeGhoul8863:

distance

1 month ago
dude:

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

1 month ago
AnimeGhoul8863:

velocity

1 month ago
dude:

Hours is not velocity x'D

1 month ago
AnimeGhoul8863:

oh i didnt see the under line

1 month ago
AnimeGhoul8863:

so speed and hours

1 month ago
dude:

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

1 month ago
AnimeGhoul8863:

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

1 month ago
dude:

~Hours is the dependent variable and speed is the dependent

1 month ago
AnimeGhoul8863:

so the variables would be S and H

1 month ago
AnimeGhoul8863:

am i right

1 month ago
dude:

Variable letters don't really matter but sure

1 month 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.

1 month ago
AnimeGhoul8863:

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

1 month ago
dude:

Lets find the distance between these points

1 month ago
AnimeGhoul8863:

ok good

1 month ago
dude:

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

1 month ago
AnimeGhoul8863:

=4

1 month 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

1 month ago
dude:

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

1 month ago
AnimeGhoul8863:

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

1 month ago
dude:

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

1 month ago
AnimeGhoul8863:

ik but you have to show work

1 month ago
dude:

I just did!!!! e.e

1 month 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

1 month ago
AnimeGhoul8863:

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

1 month 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

1 month ago
AnimeGhoul8863:

so its 6,63

1 month ago
dude:

Do you understand what it means?

1 month ago
AnimeGhoul8863:

yes

1 month ago
AnimeGhoul8863:

last question

1 month 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)

1 month ago
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