Answer:
The answer is
<h2>y = - 8x + 8</h2>
Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula

where
m is the slope
( x1 , y1) is the point
From the question the point is
(1/2,4) and slope m = -8
The equation of the line is

We have the final answer as
<h3>y = - 8x + 8</h3>
Hope this helps you
Answer: The actual model is 3.055 feet tall.
Step-by-step explanation:
Given: The statue of liberty is 305.5 feet tall from the foundation of it pedestal to the top of its torch .
The height of the model of the statue = 

Hence, the actual model is 3.055 feet tall.
Answer:
20
Step-by-step explanation:
The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)
The second equation is 40-1.5x
Set them equal to each other: 50 - 2x = 40 - 1.5x
Solve for x:
50 - 2x = 40 - 1.5 x
+2x +2x
-----------------------
50 = 40 + 0.5 x
-40 -40
-------------------
10 = 0.5 x
20 = x
So there will be 20 30-day periods until the cards will be equal in value.
Check: After 20 periods, 50 - 2(20) = $10 left
40 - 1.5(20) = also $10 left