Describe a situation in real life in which the constant of proportionality would be less than one.

The constant of proportionality is:  

                                                              ∵  k < 1

which is less than 1.

Step-by-step explanation:

        where is said to the the constant of proportionality.

       where is said to the the constant of proportionality.

Let us consider the real time example in which the constant of proportionality would be less than one.

The table shows below represents the cups of flour used to make the loaves of bread.

Cups of flour (x)                2          4          8          10

Loaves of bread (y)           1           2          4          5  

As the ratio of x and y is same for all the given values.

i.e.

Therefore, the relationship given in the table will be proportional.

As the value of x is increased when the value of y is increased, so it will be a directly proportional.

So,

Therefore, the constant of proportionality is:  

                                                              ∵  k < 1

which is less than 1.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

b. 18

step-by-step explanation:

so the equation for this is:

ab^2=ac⋅ad

ab being the top length of 6 and ac being the length of 2 and ad being the length of x. let's plug into the equation:

6^2 = 2x

now lets just solve for x:

36 = 2x

18 = x

i hope that !