Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:

Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres
The cost of 1kg of coal mined from the ore is $0.0397
Data;
<h3>The Cost of 1kg of Coal</h3>
To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

let's write this and equate it
1 ton = $35.99
907kg = $35.99
1kg = x
Let's cross multiply both sides and solve for x

The cost of 1kg of coal is $0.0397
Learn more on proportions here;
brainly.com/question/870035
Answer: 
Step-by-step explanation:
Given
Distance traveled is 
for s=150 ft

The quadratic equation with roots a and b is given by:

Here a=1/2 and b=-4.
So the equation is given by:

The quadratic equation is as shown above.
The formula of a volume of a cuboid:

l - length
w - width
h - height
We have:
l = (x + 4) cm
w = (x + 1) cm
h = 3 cm
Substitute:
<em>use distributive property</em>


<em>combine like terms</em>
