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pantera1 [17]
4 years ago
10

The average rate of change for an exponential function grows by equal [blank1] per unit interval.

Mathematics
1 answer:
Volgvan4 years ago
5 0

Answer: The average rate of change for an exponential function grows by equal <u>factor</u> per unit interval.

Step-by-step explanation:

The general exponential equation for growth is given by:-

y=Ab^x, where

A= initial value

b= Multiplicative growth rate

x = time period

For each value of x, the value of y increases by an equal value of multiplicative factor ( b).

For example: at x=0 , y=A

at x=1, y=Ab

at x= 2, y=Ab^2

Hence, the average rate of change for an exponential function grows by equal <u>factor</u> per unit interval.

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Joe and Sue were trying to calculate the square inches of paper needed to create a cone for the cotton candy. The radius
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The correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

<h3>How to find the square inches of paper needed.</h3>

The square inches of paper needed A = surface area of cone +  area of overlap

<h3>Surface area of cone</h3>

The surface area of the cone is given by A = πr[r + √(h² + r²)] where

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  • h = height of cone = 6 in.

So, A = πr[r + √(h² + r²)]

A = π × 2 × [2 + √(6² + 2²)]

A = π × 2 × [2 + √(36 + 4)]

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<h3>The area of overlap</h3>

The area of overlap A' = wL where

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So, A' = wL

A' = w[√(h² + r²)]

A' =  1/2[√(6² + 2²)]

A' =  1/2[√(36 + 4)]

A' =  1/2[√40]

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A' = √10

So, the number of square inches of paper needed is A" = A + A'

=  4π + 8π√10 + √10

Since the number of square inches of paper needed is 4π + 4π√10 + √10

So, the correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

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2 years ago
There were 212 089 visitors to a tourist attraction last year. Express this
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Answer:

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As an example, 212,589 would round up to 213,000, and

212,389 would round down to 212,000.

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3 years ago
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