Question

The functions f(x) and g(x) are described using the following equation and table:

f(x) = 3(1.02)x

x

g(x)
-1

-4
0

6
1

8
2

10


Which statement best compares the y-intercepts of f(x) and g(x)?

The y-intercept of f(x) is equal to the y-intercept of g(x).

The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).

The y-intercept of g(x) is equal to 2 plus y-intercept of f(x).

Answer 1

@Brainybeauty

Answer 2

ok. First draw a table and so that the numbers starts talking to you :)

Answer 3

I drew it on my paper, can you walk me threw it?

Answer 4

yah :)

Answer 5

Wait I'll draw one here

Answer 6

now try to find the relation between x and g(x)

Answer 7

It's a little difficult, but we can do it, right?
Let's try.

Answer 8

I have to go very soon, just to let you know :) I have a few more questions that are easier. :)

Answer 9

ok
let's try this just one more time. And if we don't get it, we will move on to the next

Answer 10

wait

Answer 11

@dan815

Answer 12

While we wait for him, lets go to the next one?

Answer 13

Bill borrowed the same amount of money from Linda and Drake. The table below shows the amount, in dollars, that Bill would owe them after different numbers of years:

Year
1

2

3

4
Linda
207

214

221

228
Drake
206

212.18

218.55

225.10


Which statement is true about the money Bill would owe Linda and Drake after 30 years?

He would owe Linda twice the amount he borrowed.

He would owe both the same amount of money.

He would owe Linda more money.

He would owe Drake more money.

Answer 14

See how x is related to f(x) and g(x)

Answer 15

f(x) is Linda's money and g(x) is Drake's money

Answer 16

On Linda's side, you can see that there is an increase of 7 dollars per years

Answer 17

*year

Answer 18

So C? she owes more?

Answer 19

Yes. Because the increase in her amount is more than the increase in Drake's amount.
Right :)

Answer 20

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x - k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is ________.

Numerical Answers Expected!

Answer 21

Im so close to being done!!!! lol

Answer 22

f(x) = (0.5)x
g(x) = (0.5) - k
If the graph shifts down by 3 units, k should be 3 units,.

Answer 23

because from the data given, g(x) = f(x) - 3 = (0.5)x - 3

Answer 24

So answer is 3?

Answer 25

yeah!

Answer 26

Heidi is preparing for the national gymnastics competition. The table below shows the number of hours Heidi spent preparing for a gymnatics competition over a period of five months:

Month
1

2

3

4

5
Hours
2

3.5

5

6.5

8


Did Heidi increase the number of hours of practice linearly or exponentially?

Linearly, because the table shows an equal increase in hours for an equal increase in months

Exponentially, because the table shows an equal increase in hours for an equal increase in months

Linearly, because the table shows that hours increase by an equal factor for an equal increase in months

Exponentially, because the table shows that hours increase by an equal factor for an equal increase in months

Answer 27

Her no. of working hours per month is 0.5 + 1.5x

Answer 28

There are no exponents involved. Just linear addition depending on the number of months

Answer 29

So B?

Answer 30

So the answer is a

Answer 31

Oh.. I see. xD

Answer 32

It can't be b because there are no exponents in the solution. You are not multiplying them. Just adding the numbers. So it will not be exponential.

Answer 33

The tenth, eleventh, and twelfth terms of a sequence are shown in the table below:

Term number
10

11

12
Term
42

47

52


Which of the following shows the first five terms of the sequence?

3, -2, -7, -12, -17

2, 7, 12, 17, 22

-3, 2, 7, 12, 17

-2, -7, -12, -17, -22

Answer 34

There is an increase of 5 for every succeeding term

Answer 35

B

Answer 36

If the 10th term is 42,
first term is 42 - 9(x)
where x is the increase in the value of terms right?

Answer 37

Wht?

Answer 38

Ok. Let the first term be A

Answer 39

And the increase is 5 units every time. Ok?

Answer 40

ALright

Answer 41

so.....its...

Answer 42

So 2nd term will be A + 5 right?

Answer 43

Right

Answer 44

3rd term is A + 10

Answer 45

If you keep on doing this, you will get that 10th term is A + 45

Answer 46

So A + 45 = 42

Answer 47

Wait whats the answer?

Answer 48

So A = 42-45 = -3.
If the first term is -3, 2nd term is 2, 3rd is 7 and so on

Answer 49

So the answer is c

Answer 50

Jess plans to increase the number of hours she spends doing exercises. She can increase the hours in the following ways:

Month
1

2

3

4

5
Option 1
0.5

0.8

1.1

1.4

1.7
Option 2
0.5

1

2.0

4.0

8.0
Option 3
0.5

0.55

0.61

0.67

0.74


If Jess wants to increase the hours linearly, which option(s) should she choose?

Only option 1, because it shows equal increases in equal intervals of time

Only option 2, because it shows equal increases in equal intervals of time

Either option 1 or option 2, because they show increases in time by the same percentage

Either option 2 or option 3, because they show increases in time by the same percentage

Answer 51

This one and more more!

Answer 52

This one, and one more*!

Answer 53

ok :)

Answer 54

Where is the increase uniform?

Answer 55

In option 1 right?

Answer 56

it's increasing by 0.3 in each case

Answer 57

Red u there?

Answer 58

Yes sorry im here

Answer 59

In option 2, it is increasing by 2, 4, 8 TIMES, which is exponential.
In option 3, the increase is not uniform. So it's not linear.
So the answer is option a, option 1

Answer 60

Got it?

Answer 61

The table below shows four systems of equations:

System 1

System 2

System 3

System 4

4x − 5y = 2
3x − y = 8


4x −5y = 2
3x − 8y = 4


4x − 5y = 2
13x − 8y = 26


4x −5y = 2
10x + 3y = 15


Which pair of systems will have the same solution?

System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to two times the second equation in system 1

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to two times the second equation in system 2

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to three times the second equation in system 2

System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to three times the second equation in system 1

Answer 62

Did u understand the previous answer?

Answer 63

Yes I did

Answer 64

hey brb

Answer 65

wait!!!! I have one more!

Answer 66

just one minute i'll be back after that

Answer 67

Alright