Jorge bought 16 apples for $8.00. let x represent the number of apples purchased, and let y represent the total cost. graph the line that represents the proportional relationship. (it doesn't have a graph because i need to graph it)

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or

In this problem

Jorge bought apples for

This is a direct variation problem

Let

x-----> the number of apples purchased

y-----> the total cost

The value of k is equal to the value of the slope m

Substitute

The linear equation is

using a graphing tool

see the attached figure

The answer in the attached figure

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5

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.