By observing the graph we can note down the following things about the boundary line:
- It has a positive slope.
- It cuts the X-axis at
- It cuts the Y-axis at $(0,-x)$, where $|x|$ is some value less than 2 but greater than 1.
Let's look at the shaded region. The origin lies inside it.
Thus, the point $(0,0)$ satisfies the equation of the region.
Upon putting it in the options, we find that only two options: 2 and 4 satisfy the inequality $0<5$
Now find the Y-intercept of the boundary line:
Option 4) $0-2y=5$
$y=\frac{-5}{2}<-2$
Since it is smaller than -2, it is the wrong option.
Hence, correct option is $\boxed{x-3y<5}$
Answer:
y = -1/2x +1
Step-by-step explanation:
The y intercept is 1 (this is where it crosses the y intercept)
(0,1) and (2,0) are two points on the line
The slope is given by
m = (y2-y1)/(x2-x1)
= (0-1)/(2-0)
= -1/2
The slope is -1/2
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = -1/2x +1
Answer:
b)$18
Step-by-step explanation:
The break even point is when the revenue is equal to the cost.
Revenue:
How much the store earns for each shirt.
We want to find the price of each shirt, and 50 shirts will be made.
So the revenue function is:
In which p is the price.
Costs:
A clothing store spends $10 for each shirt it produces and has fixed costs of $400.
So for 50 shirts:
400 + 50*10 = 900
Breakeven
Revenue equals cost
50p = 900
p = 900/50
p = 18
So the correct answer is:
b)$18
Best guess is it’s the second one but I believe it’s between A and B sorry If I’m wrong.
