Question

check my answers?

Answer 1

The graph below shows a line segment AB:

Graph of line segment AB with endpoints at negative 2 comma 2 and 4 comma negative 1

What is the slope of the line segment AB?

−2
−1 over 2
1 over 2
2

B

Answer 2

(-2, 2) and (4, -1)

yes, your answer of B is correct

Answer 3

The table below represents the atmospheric temperature at a location as a function of the altitude:


Altitude
(in thousand feet)
x
Temperature
(in °C)
f (x)
15
4
20
−6
25
−16
30
−26


The average rate of change of the function between x = 15 to x = 25 is ___degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.

10????

Answer 4

I can't really understand the table :P

Answer 5

just give me the y-values of when x = 15 and when x = 25 and I'll see if your answer is correct

this assignment looks to be all based on slopes, so I'll post this here:

\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)

Where the two points are in the form:

\(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\)

Answer 6

4
-6
-16
-26

Answer 7

@TheSmartOne

Answer 8

^^f(x)

Answer 9

x=15 20 25 30

Answer 10

so (15, 4) and (25, -16) are the two points, right?

Answer 11

yes

Answer 12

try to calculate the slope again using the slope formula :)

Answer 13

-20/10

Answer 14

correct, and what can you simplify that down to?

Answer 15

-2

Answer 16

and that's your answer :)

Answer 17

thanks
I have like 10 more questions to check. Can you help?

Answer 18

Write the equation of the line that passes through the points (1, 7) and (5, 15) using function notation.

y = 2x + 5
y = 4x + 8
f(x) = 2x + 5
f(x) = 4x + 8

C

Answer 19

correct :)

Answer 20

Choose the graph below that correctly represents the equation 2x + 4y = 24.

line through the points 0 comma 6 and 12 comma 0
line through the points 0 comma negative 6 and 12 comma 0
line through the points 0 comma negative 12 and 6 comma 0
line through the points 0 comma 12 and 6 comma 0


C??

Answer 21

what y-value do you get when you plug in x = 0?

Answer 22

not sure

Answer 23

2x + 4y = 24

2(0) + 4y = 24

That's how we plug in x = 0, and now we need to solve for y. Can you do the rest?

Answer 24

y=6
so A??

Answer 25

correct :)

Answer 26

The graph below shows the distance (y) between Hannah and her home, in km, after a certain time (x), in hours:

Graph of first line going through ordered pairs 0, 4 and 2, 4. Graph of second line going through ordered pairs 2, 4 and 3, 2. Graph of third line going through ordered pairs 3, 2 and 4, 4. Graph of fourth line going through ordered pairs 4, 4 and 6, 4.

Which of the following statements best describes Hannah's distance from her home?

It is decreasing in the interval 2 < x < 4 hours.
It is increasing in the interval 2 < x < 3 hours.
It is decreasing in the interval 2 < x < 3 hours.
It is increasing in the interval 2 < x < 4 hours.

a?

Answer 27

?

Answer 28

during which hours is the distance increasing?