Using proportions, it is found that the depth of the first level is of -23.7 ft.
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- <u>As each level has the same height</u>, this question can be solved by proportions, with a rule of three.
- 5 levels have a depth of -118.5ft. What is the depth of 1 level?
5 levels - -118.5 ft
1 level - x
Applying cross multiplication:
![5x = -118.5](https://tex.z-dn.net/?f=5x%20%3D%20-118.5)
![x = -\frac{118.5}{5}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B118.5%7D%7B5%7D)
![x = -23.7](https://tex.z-dn.net/?f=x%20%3D%20-23.7)
The depth of the first level is of -23.7 ft.
A similar problem is given at brainly.com/question/24112433
Answer:
Kidz comic costs the most
<em></em>
Step-by-step explanation:
Given
Family Fun
![C(x) = 1.99x](https://tex.z-dn.net/?f=C%28x%29%20%3D%201.99x)
Kidz Comics
--- monthly rate
--- delivery charge
Required
Which is more expensive
A linear function is represented as:
![f(x) = mx + b](https://tex.z-dn.net/?f=f%28x%29%20%3D%20mx%20%2B%20b)
Where
![m = rate](https://tex.z-dn.net/?f=m%20%3D%20rate)
--- i.e. the base charge
So, for Kidz comic; We have:
![f(x) = mx + b](https://tex.z-dn.net/?f=f%28x%29%20%3D%20mx%20%2B%20b)
![C(x) = 1.85x + 10](https://tex.z-dn.net/?f=C%28x%29%20%3D%201.85x%20%2B%2010)
To calculate the annual cost, we set x = 12; i.e. 12 months.
So, we have:
---- Family Fun
![C(12) = 1.99 * 12](https://tex.z-dn.net/?f=C%2812%29%20%3D%201.99%20%2A%2012)
![C(12) = 23.88](https://tex.z-dn.net/?f=C%2812%29%20%3D%2023.88)
--- Kidz comic
![C(12) = 1.85*12 + 10](https://tex.z-dn.net/?f=C%2812%29%20%3D%201.85%2A12%20%2B%2010)
![C(12) = 22.2 + 10](https://tex.z-dn.net/?f=C%2812%29%20%3D%2022.2%20%2B%2010)
![C(12) = 32.2](https://tex.z-dn.net/?f=C%2812%29%20%3D%2032.2)
By comparison
![32.2 > 23.88](https://tex.z-dn.net/?f=32.2%20%3E%2023.88)
<em>Hence, Kidz comic is more expensive</em>
Answer:
c = 1
Step-by-step explanation:
The formula for the MVT is
![f'(c)=\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=f%27%28c%29%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
where f'(c) is the derivative of the function: 8x - 3;
f(b) is the function evaluated at an x value of 2 (the second number in the interval): f(b) = 12;
f(a) is the function evaluated at an x value of 1 (the first number in the interval: f(a) = 2
Setting up:
![8c-3=\frac{12-2}{2-0}=\frac{10}{2}=5](https://tex.z-dn.net/?f=8c-3%3D%5Cfrac%7B12-2%7D%7B2-0%7D%3D%5Cfrac%7B10%7D%7B2%7D%3D5)
So basically what we end up with is
8c - 3 = 5 and
8c = 8 so
c = 1
This function does in fact satisfy the requirements for the MVT: it is continuous on the interval and it is differentiable on the interval as polynomials by nature are continuous and differentiable on all values of x.