Question

William raced up a flight of stairs at the rate of 3 stairs per second. The function below shows the total number of stairs f(t) that he is able to climb in t seconds:
f(t) = 3t + 7
Which statement best describes the y-intercept of the graph of the function?

Answer 1

A.) It is equal to 7 and represents the number of stairs William had already climbed before he started racing up
B.) It is equal to 3 and represents the number of stairs William can climb in 1 second.
C.) It is equal to 4 and represents the number of stairs William had already climbed before he started racing up.
D.) It is equal to 3 and and represents the number of stairs William can climb in 1 second.

Answer 2

The answer is a. The key to this question is to calculate f(t) when t = 0


We hope this helps.


Regards,

Academic GurusInc.

Twitter (@Academic_Gurus)
Facebook (AcademicGurusInc)

Answer 3

thank youuuu!(:

Answer 4

could you help me with some more? @AcademicGurusInc

Answer 5

Sure, what is your question?

Answer 6

For y = f(x), what is the ordered pair for a point on the graph when x = r - 2?
A.) (r - 2, f(r -2))
B.) (x, f(r))
C.) (x, r - 2)
D.) (r - 2, f(r))

Answer 7

This question is testing your understanding of the x and y values of a point within a graph.

First step: Understand that an ordered pair is simply (x, y) for a given function. In your case the question states that x = r-2. Therefore, you know that (r-2, y) must hold true.

Second step: Solve for y.
Since y=f(x) and we know x=r-2, then y = f(r-2). Therefor the ordered pair becomes (r-2), f(r-2). I hope this helps

Answer 8

Therefore, A is correct

Answer 9

i need your brain lol
Using the function g(x) = 8x - 2, compare and contrast g(-3) and g(3). Which of the following statements is true?

A.) The value of g(-3) is larger than the value of g(3).
B.) The value of g(-3) is the same as the value of g(3).
C.) The value of g(-3) is smaller than the value of g(3).
D.) The values of g(-3) and g(3) cannot be compared.

Answer 10

In this case, the first step requires that you solve for g(-3) and g(3). So let's start with the first one, g(-3):

This simply means that x=-3 here so replace the x with -3: g(-3)=8(-3) -2=-24-2=-26

Now solve for g(3) and compare the results to determine your answer. What do find?

Answer 11

g(-3) =-26?

Answer 12

so a?

Answer 13

Not quite, let's try again: your question states that the original function is:
g(x) = 8x - 2 so
g(-3)= 8(-3) -2= -24-2=-26
Now you do the same thing for g(3)
g(3) = 8(3) -2 = 24-2=22
Now which one is greater

Answer 14

ohhhhh i over looked the (-) g(3) = 8(3) -2 = 24-2=22

Answer 15

That's right, are you able to determine the answer now?

Answer 16

c

Answer 17

Yes, you got it right! Good job! :)

Answer 18

yay((: okay i have 3 more could you help?(:

Answer 19

The functions f(x) and g(x) are described below:
f(x) = 32x + 8
g(x) = 32x - 9

The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.
im 99.9 % sure this is 17

Answer 20

@AcademicGurusInc

Answer 21

you are correct!

Answer 22

sweet((:
Which of the following functions best describes a sequence where the first 4 terms are:
7, 4, 1, -2

A.) f(1) = 7, f(n + 1) = f(n) + 3; for n ≥ 1
B) f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1
C.) f(1) = 7, f(n + 1) = f(n) - 4; for n ≥ 1
D.)f(1) = 7, f(n + 1) = f(n) + 4; for n ≥ 1
I "think" its d

Answer 23

In this case you have to determine the pattern based on the sequence you are given. What pattern do you see?

Answer 24

1, 7,1, 4, 1 and 1, 7, 1, 3, 1

Answer 25

Not quite, let's start with the sequence you are given:
7, 4, 1, -2. If you look closely, you will see that by adding -3 to the first number , 7, you will get the second number 4. Similarly, by adding -3 to the second number, 4, you get the third number, 1, and so on. Therefore the pattern requires that you subtract 3 from each number in the sequence to get the next number within the sequence. Does this make sense?

Answer 26

yes so far

Answer 27

ok, in that case b must be true. Do you see why?

Answer 28

by adding -3?

Answer 29

Yes, "adding -3" is just another way of saying "subtract 3". In other words you are subtracting 3 from every number in the sequence to get the next number. Unfortunately, I will have to leave now. However, I will post the solution to your question on our Tutoring Thursday channel today. Feel free to subscribe to our channel https://www.youtube.com/channel/UCYiI7SmkU4_vhdSzKBWsifg so that you can be notified once the video has been posted.

In the mean time, I hope you found this helpful and good luck!

Answer 30

thank you so much for your time & help!!!!(:

Answer 31

Also, feel free to send us your last question and we will add that to the video

Answer 32

You are quite welcome.

Answer 33

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

Altitude
(in thousand feet)
x
15
20
25
30
Temperature
(in °C)
f (x)
4
-6
-16
-24
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.
-2?