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Answer:
Step-by-step explanation:
exponential function :
where a = y intercept and b = factor ( what you multiply by )
looking at the table the y intercept is at (0,10) so a = 10
so we now have y = 10 * (b)^x
to find the factor we simply plug in one of the ordered pairs.
note that the ordered pair chosen does not effect the outcome
i chose (2,250)
we have y = 10 * (b)^x
(x,y) = (2,250)
250 = 10 * (b)^2
divide both sides by 10
25 = b^2
take the square root of both sides
5 = b
the final equation would be f(x) = 10 * (b)^x
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
The volume of a cone is given by the following formula:
In which r is the radius and h is the height.
Two cones:
Both have the same height.
The sharing-size cone has 3 times the radius of the skinny-size cone.
Skinny:
radius r, height h. So
Sharing size:
radius 3r, height h. So
About how many times more popcorn does the sharing cone hold than the skinny cone?
The sharing cone holds about 9 times more popcorn than the skinny cone.