Find the Constant of Proportionality for the Table and Write in the Form Y = Kx.

dezembro 12, 2021 Postar um comentário

Find the constant of proportionality for the graph and write in the form y = kx.
a) $15.60
b) $52.00
c) $156.00
d) $556.00

powella033 · 05.02.2020 10:44

ANSWER(S): 3 Show answers 9 Сomment

ANSWER(S)

part a

answer: a reasonable domain is [tex]0 \le n \le 10[/tex] where n is a real number. so n can be between 0 and 10. both endpoints are included.

work shown:

n is the number of days after the experiment starts. the smallest n can be is n = 0 which means that 0 days have gone by, and we're at the start. to find out how large n should be, then replace f(n) with 16.13 and solve for n. use logarithms to isolate the exponent.

f(n) = 12*(1.03)^n

16.13 = 12*(1.03)^n

16.13/12 = (1.03)^n

1.34416666666667 = (1.03)^n

(1.03)^n = 1.34416666666667

log[ (1.03)^n ] = log[ 1.34416666666667 ]

n*log[ 1.03 ] = log[ 1.34416666666667 ]

n = log[ 1.34416666666667 ]/log[ 1.03 ]

n = 10.0062999823929

this rounds to n = 10 which is fairly close but not 100% perfect. so this is the largest n can be.

note: if you plug n = 10 into f(n), you'll get roughly 16.127 which rounds to 16.13 (this comes up again in part c)

=====================================

part b

answer: the y intercept is 12. it represents the starting height of the plant in cm.

work shown:

plug n = 0 into the f(n) function. simplify

f(n) = 12*(1.03)^n

f(0) = 12*(1.03)^0

f(0) = 12*(1)

f(0) = 12

on day n = 0, aka the starting point, the height f(n) is 12 cm

=====================================

part c

answer: the average rate of change is approximately 0.43061036458991 (round however you need to). this represents the average growth rate from day n = 3 to day n = 10. so the plant grew roughly 0.43 cm per day during this timespan, assuming you round to 2 decimal places.

work shown:

compute f(3)

f(n) = 12*(1.03)^n

f(3) = 12*(1.03)^3

f(3) = 13.112724 < we'll use this later

compute f(10)

f(n) = 12*(1.03)^n

f(10) = 12*(1.03)^10

f(10) = 16.1269965521294 < we'll use this later

now use the formula below with a = 3 and b = 10

aroc = average rate of change

aroc = [ f(b) - f(a) ]/[ b - a ]

aroc = [ f(10) - f(3) ]/[ 10 - 3 ]

aroc = (16.1269965521294 - 13.112724)/(10 - 3)

aroc = 3.0142725521294/7

aroc = 0.43061036458991

round this however you need to

note: the plant grew approximately 3.01 cm over 7 days, so roughly 0.43 cm per day is the average growth rate (if you were to round to 2 decimal places).

Iplay an instrument and i'm in band
Asurvey asked 50 students if they play an instrument and if they are in a band

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Y would be the output value after inputting an X value and solving the necessary equation.

On the pictured graph, the numbers along the bottom are the X values and the numbers along the side are the Y values.

Looking at where the yellow dots are located on the X axis, there ia a dot at 0, 7, 14, 21, 28 and 35.

Now look at the corresponding Y values for each of those dots, they are at 0, 42, 84, 126, 168 and 210.

To find the proportionality of the graph using the equation y =kx, we can fill in the Y and X values and solve for k.

using x = 7 and Y = 42, the equation becomes 42 =k(7).
To solve for k divide both sides by 7: k = 42/7 = 6
When you replace the x and Y with the other numbers on the graph k is also equal to 6, so the correct equation would be B. y = 6x

I believe that it is either B or D.

Your correct answer is C. y=5x

Step-by-step explanation:

I really hope it helped. Have a nice night/day and please mark me brainliest (it is an expression lol XD

Your correct answer i D. y=15x

Step-by-step explanation:

Have a nice night/day! Please mark brainliest!!

the answer is C y+7x

Step-by-step explanation:

Option C is correct

y = 7x

Step-by-step explanation:

Direct variation states that:

$y \propto x$ ......[1]

then, the equation is in the form of:

y=kx , where k is the constant of variation

From the given graph we have points in the form of (x, y) i.e,

(0, 0), (5, 35), (10, 70), (15, 105), (20, 140), (25, 175) and (30, 210)

Substitute any points i.e (5, 35) in [1] we have;

35 = 5k

Divide both sides by 5 we have;

7 = k

k = 7

then;

y = 7x

Therefore, the constant of proportionality for the graph is, 7 and its form is, y = 7x

i know that the awser is y=6x

Find the x and y for each dot:

5,35

10,70

15,105

etc.

Divide the Y by the X:

35 / 5 = 7

70 / 10 = 7

etc.

The answer would be C) y = 7x

293828! : ! : /! //: 8: 83922:

C is the correct answer hope this helps you and have a great day

Johnson Imand1958

Find the Constant of Proportionality for the Table and Write in the Form Y = Kx.

Find the constant of proportionality for the graph and write in the form y = kx.
a) $15.60
b) $52.00
c) $156.00
d) $556.00

Other questions on the subject: Mathematics

Postar um comentário for "Find the Constant of Proportionality for the Table and Write in the Form Y = Kx."

Find the Constant of Proportionality for the Table and Write in the Form Y = Kx.

Find the constant of proportionality for the graph and write in the form y = kx. a) $15.60 b) $52.00 c) $156.00 d) $556.00

Other questions on the subject: Mathematics

Postar um comentário for "Find the Constant of Proportionality for the Table and Write in the Form Y = Kx."

Find the constant of proportionality for the graph and write in the form y = kx.
a) $15.60
b) $52.00
c) $156.00
d) $556.00