The amount of blueberries picked, in pounds, varies directly as the number of hours worked. after 10 hours, 30 pounds were picked. what is the constant of proportionality k ? do not include units in your answer.

3

Step-by-step explanation:

3 pounds were picked per hour

Hello there!

We know that the number of blueberries picked varies directly as the number of hours worked.

Direct variation means that: b = kh

where b is the number of blueberries, k is a constant of proportionality and h is the number of hours worked.

we know that in 10 hours there are 30 pounds of blueberries collected, then we can replace these numbers in the equation and solve it for k. And you want that I don't include units in the answer, so I will not include them.

30 = k*10

k = 30/10 = 3

Then the constant of proportionality is 3, whit is the amount of punds of blueberrys collected in one hour.

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.

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