Answer:
Step-by-step explanation:
y ≤ 5x - 1
- 5x + y ≤ - 1
5x - y ≥ 1
Answer: Natalie make $ 367.5 in a week in which she made $225 in sales .
Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
Step-by-step explanation:
Base Salary of Natalie = $300
Also, she gets 30% of the her total sales for the week.
If total sales in a week = $225
commission = 30% of $225
= $ ( 0.30 × 225)
= $ 67.5
Natalie got = Base Salary + Commission
= $300 + $ 67.5
= $ 367.5
∴ Natalie make $ 367.5 in a week in which she made $225 in sales .
If total sales in a week = $x
commission = 30% of $x
= $ ( 0.30 × x)
= $ 0.30 x
Natalie got = Base Salary + Commission
= $ ( 300+x )
∴ Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
Option C (Same as Option D)
<h2>
Explanation:</h2>
Option C and D are the same, so I'll assume you made a mistake when writing this question. However, let's figure out which of the following equations has a slope of -2 and passes through the point (2,3):
A. y = -2x + 6
B. y - 3 = -2(x + 2)
C. y = -2x + 7
<em />
<em>All these equations have a slope of -2.</em>
FROM OPTION A:
![Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+6 \\ \\ 3=-4+6 \\ \\ 3=2 \ False!](https://tex.z-dn.net/?f=Recall%20%5C%20our%20%5C%20point%20%5C%20is%20%5C%20%282%2C3%29%2C%20%5C%20so%3A%20%5C%5C%20%5C%5C%20x%3D2%20%5C%5C%20%5C%5C%20y%3D3%20%5C%5C%20%5C%5C%20Substituting%20%5C%20into%20%5C%20the%20%5C%20equation%3A%20%5C%5C%20%5C%5C%203%3D-2%282%29%2B6%20%5C%5C%20%5C%5C%203%3D-4%2B6%20%5C%5C%20%5C%5C%203%3D2%20%5C%20False%21)
Since
then the line doesn't pass through the point (2, 3)
FROM OPTION B:
![Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3-3=-2((2)+2) \\ \\ 0=-2(4) \\ \\ 0=-8 \ False!](https://tex.z-dn.net/?f=Recall%20%5C%20our%20%5C%20point%20%5C%20is%20%5C%20%282%2C3%29%2C%20%5C%20so%3A%20%5C%5C%20%5C%5C%20x%3D2%20%5C%5C%20%5C%5C%20y%3D3%20%5C%5C%20%5C%5C%20Substituting%20%5C%20into%20%5C%20the%20%5C%20equation%3A%20%5C%5C%20%5C%5C%203-3%3D-2%28%282%29%2B2%29%20%5C%5C%20%5C%5C%200%3D-2%284%29%20%5C%5C%20%5C%5C%200%3D-8%20%5C%20False%21)
Since
then the line doesn't pass through the point (2, 3)
FROM OPTION C:
![Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+7 \\ \\ 3=-4+7 \\ \\ 3=3 \ True!](https://tex.z-dn.net/?f=Recall%20%5C%20our%20%5C%20point%20%5C%20is%20%5C%20%282%2C3%29%2C%20%5C%20so%3A%20%5C%5C%20%5C%5C%20x%3D2%20%5C%5C%20%5C%5C%20y%3D3%20%5C%5C%20%5C%5C%20Substituting%20%5C%20into%20%5C%20the%20%5C%20equation%3A%20%5C%5C%20%5C%5C%203%3D-2%282%29%2B7%20%5C%5C%20%5C%5C%203%3D-4%2B7%20%5C%5C%20%5C%5C%203%3D3%20%5C%20True%21)
Since
then the line passes through the point (2, 3)
<em>Finally, the equation that has a slope of -2 and passes through the point (2,3) is Option C (Same as Option D)</em>
<em></em>
<h2>
Learn more:</h2>
x and y intercepts of a line: brainly.com/question/13770925#
#LearnWithBrainly
Find the gradient
y2-y1/x2-x1
= 8-6/10-5
=2/5