Answer:
Option A. y = 4x
Step-by-step explanation:
From the question given above, the following data were obtained:
X >> Y
3 >> 12
4 >> 16
5 >> 20
6 >> 24
7 >> 28
Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:
For Option A:
1. y = 4x
x = 3
y = 4 × 3
y = 12
2. y = 4x
x = 4
y = 4 × 4
y = 16
For Option B:
1. y = 4x + 12
x = 3
y = 4(3) + 12
y = 12 + 12
y = 24
2. y = 4x + 12
x = 4
y = 4(4) + 12
y = 16 + 12
y = 28
For Option C:
1. y = ¼ x
x = 3
y = ¼ × 3
y = ¾
2. y = ¼ x
x = 4
y = ¼ × 4
y = 1
For Option D:
1. y = ¼x + 12
x = 3
y = ¼(3) + 12
y = ¾ + 12
y = 51/4
2. y = ¼x + 12
x = 4
y = ¼(4) + 12
y = 1 + 12
y = 13
From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.
Answer:
Slope = -4/3
y intercept = 4
Step-by-step explanation:
Change the equation given into slope intercept form
3y + 4x = 12
3y = -4x + 12
y = -4/3 + 12/3
y = -4/3 + 4
m = -4/3 b = 4
Answer:

Step-by-step explanation:
We are given zeros as x=-4, x=-2
so, we can set up function as

Vertex is at (-1,3)
It means that graph passes through point (-1,3)
so, we can plug x=-1 and f(x)=3
and then we can solve for 'a'

we get

now, we can plug it back
and we get

now, we can simplify it

For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1 10 |
2 16 = 10 + 1(6) |
3 22 = 10 + 2(6) |
4 28 = 10 + 3(6)|
5 34 = 10 + 4(6) |
6 40 = 10 + 5(6) |
From these, we can observe that given x number of shipments, the total number of objects would be

. Thus, given f(x), we have
Answer: f(x) = 6x + 4
Answer:
Option A: 6.23 x 1012
Step-by-step explanation:
Please check provided image.