Answer:
See Explanation
Step-by-step explanation:
Given
Let
Strawberry
Banana
![S : B = 2 : 3](https://tex.z-dn.net/?f=S%20%3A%20B%20%3D%202%20%3A%203)
Solving (a):
Complete the table
The table, to be complete, is not given; so, I will generate one myself.
![\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccccc%7DS%20%26%20%7B2%7D%20%26%20%7B3%7D%20%26%20%7B4%7D%20%26%20%7B5%7D%20%26%20%7B6%7D%20%5C%20%5C%5C%20%7BB%7D%20%26%20%7B3%7D%20%26%20%7B4.5%7D%20%26%20%7B6%7D%20%26%20%7B7.5%7D%20%26%20%7B9%7D%20%5C%20%5Cend%7Barray%7D)
The table is generated as follows:
![S : B = 2 : 3](https://tex.z-dn.net/?f=S%20%3A%20B%20%3D%202%20%3A%203)
Multiply by 1.5
![S : B = 2 * 1.5 : 3 * 1.5](https://tex.z-dn.net/?f=S%20%3A%20B%20%3D%202%20%2A%201.5%20%3A%203%20%2A%201.5)
![S : B = 3 : 4.5](https://tex.z-dn.net/?f=S%20%3A%20B%20%3D%203%20%3A%204.5)
Multiply by 2
![S : B = 2*2 : 3*2](https://tex.z-dn.net/?f=S%20%3A%20B%20%3D%202%2A2%20%3A%203%2A2)
![S : B = 4 : 6](https://tex.z-dn.net/?f=S%20%3A%20B%20%3D%204%20%3A%206)
And so on....
<em>In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant</em>
Solving (b): Why the amount are proportion
Because the ratio is constant and it remains unchanged all through.
It is A. ....... i wish you had a whole chart
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
To find the slope (m), use the slope formula:
And plug in the two points
(-2, 7) = (x₁, y₁)
(4, -5) = (x₂, y₂)
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
(two negative signs cancel each other out and become positive)
![m=\frac{-5-7}{4+2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-5-7%7D%7B4%2B2%7D)
Simplify the fraction
m = -2
The slope is -2, so the parallel line's slope is also -2.
Your answer is C
The answer is B the second one