1. Two linear functions are shown below. Which function has the greater rate of change? Function A Function B 10 у y 4 32 8 8 6 44 12 4 56 2 16 68 Х 0 20 80 0 2 4 6​

2 × 10 = 20

see Picture.

Step-by-step explanation:

8.a.

a function is something that looks like

y = ax + b or similar.

it describes the way to calculate the result for whatever input value you can come up with.

so,

C = 12×d + 8

you could also say

C(d) = 12×d + 8

as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.

funny thing is : you understood this perfectly well when doing b.

c.

the constant rate of change is always the factor of the input variable. here : 12

it is the ratio of (y change) / (x change)

or here (C change / d change).

it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.

9.a.

remember, what we just said about the rate of change ?

it is (result change) / (input change).

between 2010 and 2015

the input changed by +5 (from 2010 to 2015).

the result changed by +6.25 (from 37 to 43.25).

the rate of change is therefore

6.25/5 = 1.25 = 1 1/4 = 5/4

the function is therefore

population in millions = (years since 2010)×5/4 + 37

p = y×5/4 + 37

b.

now we want to find the number of years (y) so that the result of that equation is 50.

50 = y×5/4 + 37

13 = y×5/4

52 = 5y

y = 52/5 = 10.4

so, this will be during the 11th year after 2010 = 2021.

10.

be careful and concentrate.

you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.

a.

again, remember the change rate : it is result change / input change.

so, we have here 20/5 = 4.

so,

C(n) = 4×n + 50

b.

n = 12

C(12) = 4×12 + 50 = 98

c.

now we have C(n), and want to find for which n this is true.

C(n) = 78

78 = 4×n + 50

28 = 4×n

n = 7

after 7 visits the costs are 78.

there are the basic costs of 50 (for n = 0 or 0 visits) and then extra 4 for every visit.

d.

the x-axis is for the number of visits, the y-axis for the costs.

so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).

Answer:

(0 ; -3)

Step-by-step explanation:

The y-intercept is where the line touches the y axis meaning that x is 0.

Answer:

-3 by the looks of it.

Step-by-step explanation:

The line intercepts at the y-intercept (the vertical and or straight up and down line) at -3.

Answer: b

Step-by-step explanation:

Answer:

1) 9h² - 3h + 2h² when h= -1

11h²- 3h

11(-1)²-3(-1)

11+3

14

2) -6m + 3t +2m² when m= 3 and t=-1

-6( 3) +3(-1)+2(3)²

-18 -3 +18

-3

3) 7g² - 2c³/ 3g - c² when g=2 and c= -1

7(2)² - 2(-1)³ / 3(2) - (-1)²

28 +2 / 6-1

30/5

6

Answer:

$their down payment is $280 the percentage of the purchase is $2.8

9514 1404 393

Answer:

Step-by-step explanation:

If the function showed linear growth, it would be a straight line. Since it curves upward, it will be either "exponential" or "other." The growth factor seems more or less constant, so we can claim the curve to be exponential.

When x=1, y=1; when x=2, y=3. The increase in x by 1 unit causes the value to grow by a factor of 3/1 = 3. When x=3, y=9, which is growth by another factor of 3. The growth factor is 3.

Answer:

Am working on that too this is for everyone! here you go

Step-by-step explanation:

Edge 2021!

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

Step-by-step explanation:

4( 3x-8) = 52

12x - 32 = 52

Group all like terms

12x = 52 + 32

12x = 84

Divide both sides by 12

12/12x = 84/12

x = 7

Therefore, x = 7.

Hope it helps. Please mark me brainliest.

Answer:

Yes there is a proportional relationship

Step-by-step explanation:

If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.

Answer:

c

Step-by-step explanation:

I think that is the answer

Answer:

c

Step-by-step explanation:

it is equal to.

Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.

Given that Sandra earns $ 62,954 per month, to determine the percentage of deductions the following calculations must be performed:

Therefore, Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.

Learn more about quantities in https://brainly.com/question/25716934

Answer:

Step-by-step explanation:

27x3=81

Answer:

It's 3 hope it's help....

Answer:

undefined

Step-by-step explanation:

Vertical lines never have a defined slope as you can never divide a number by zero

The equation of a line in standard form is:

y

=

m

x

+

b

Where

m

is our slope

b

is our y-intercept

In our case we are only given

x

=

6

x

=

6

is a vertical line therefore the slope is undefined.

9414 1404 393

Answer:

  $1.80, 2.90, 4.00, 10.90

  not proportional

Step-by-step explanation:

For some distance d, we have a charge f(d) that is ...

  [tex]f(d)=\begin{cases}1.00&0\le d\le0.1\\1.00+0.10\cdot\dfrac{(d-0.1)}{0.10}&0.1<d\end{cases}[/tex]

for d > 0.1, this simplifies to d +0.9.

Then the charges are ...

  [tex]\begin{array}{cc}\underline{\text{miles}}&\underline{\text{charge}}\\9/10&1.80\\2&2.90\\3\ 1/10&4.00\\10&10.90\end{array}[/tex]

The different relation for the first 1/10 mile indicates ...

  the relationship is not proportional.

[tex]\red{\rule{45pt}{999999pt}}[/tex]

Answer:

The relationship will be a solid line.

Step-by-step explanation:

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.

The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.

Let the number of lunches you buy be = x

Let the amount remaining in the card be = y

So, equation forms:

When you buy 1 lunch, or x = 1

When x = 2

When x = 3

We can see that the decrease is gradual and same.

You can also see the graph attached that a straight line is formed.

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}

[/tex]

3.36

Hope it helps.

Do comment if you have any query.

[tex]\begin{cases} \stackrel{apples}{10^3}\\ \stackrel{grapes}{10^2}\\ \stackrel{oranges}{10^1} \end{cases}\qquad \begin{cases} \stackrel{lbs}{32}\\ \stackrel{lbs}{25}\\ \stackrel{lbs}{42} \end{cases}\qquad \begin{array}{rllll} 10^3\cdot 32\\ 10^2\cdot 25\\ +\qquad 10\cdot 42\\\cline{1-1} 34920&lbs \end{array}[/tex]

Answer:

it took Jasmine 479 miles per hour

Answer:

a. Volume = π15.02 9.0=6361.73

b. I am very sorry, I don't know

Step-by-step explanation:

Answer:

$20 million.

Step-by-step explanation:

Amir is buying tickets for the $120 million lotteries. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother’s four friends, and they will each get

The illustration provided in the question is an example of an inverse variation.

When there is an inverse proportion, as one of the variable increases, the other variable decreases. As the number of people who share the money increases, the amount of money each person would get would become smaller.

The formula used to represent inverse proportion is:

y =  k/x

• y = dependent variable

• x = independent variable

• k = constant of proportionality

Here is the complete question: Amir is buying tickets for the  million lottery. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother's four friends, and they will each get  million. Is this an example of direct, inverse, or joint variation?Joint variationInverse variationDirect variation

To learn more about inverse proportion , please check: https://brainly.com/question/25748643

Answer:

No Questions are shown here

Step-by-step explanation:

Just says "For exercises, 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expression."

Answer:

b is ur answer

Step-by-step explanation

hope this helps :)

Answer:

c  5x -15y =1

5x-15y=1

-5x -15y= 1 -5x     change the signs on both sides of the equation

    15y = -1 +5x      divide both sides by 15

        y = -1/15 + 1/3 x    Reorder the terms

        y = 3x-15

Step-by-step explanation:

Hope this helps:)

Answer:

y^(1/10).

Step-by-step explanation:

(1/√y)^-1/5

= (y ^-1/2)^-1/5

= y^(-1/2 * -1/5)

= y^(1/10)

Answer:

Step-by-step explanation:

(1/sqrt(y) )^-1/5      To get rid of the minus, turn the sqrt(y) over.

(sqrt(y))^1/5           Represent the square root of y as y^(1/2)

(y^(1/2))^(1/5)         Multiply the powers

y ^ 1/10

Answer:

completing the square

Step-by-step explanation:

You can change a quadratic equation from standard form to vertex form by completing the square!

Check the picture below.