Answer:
The slope of the line must be 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
we know that
The volume of a rectangular prism is equal to
----> equation A
where
B is the area of the base of the prism
h is the height of the rectangular prism
step 2
The volume of a square pyramid is equal to
-----> equation B
where
B is the area of the square base of pyramid
h is the height of the pyramid
step 3
substitute equation A in equation B

Find the relationship between the volume of a rectangular prism and the volume of a square pyramid

therefore
The slope of the line must be 3
let's check it
To solve for the slope of the line, you must choose two coordinates first and use the formula

Choosing the points (2,6) and (3,9)
substitute
----> is correct
Year GDP
y (billion $)
1985 577
1986 577+ 3.2% of 577 = 577 * 1.032
1987 577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2
1988 577 * (1.032)^3
1989 577 * (1.032)^4
.... .... => model GDP = 577 * (1.032)^ (y - 1985)
Then, for GDP = $3.4 trillion = $3400 billion =>
3400 = 577 (1.032)^ (y - 1985)
Divide both sides by 577:
(1.032)^ (y - 1985) = 3400 / 577 = 5.892548
Apply logarith to both sides:
(y - 1985) log (1.032) = log 5.892548
=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years
=> y = 1985 + 56.3 = 2041.3
Answer: 2041