the coordinates A(5,-2) B(3,-1) C(-4,-4) D(-3,8), and E(-1,4) form the verices of a polygon when they are connected in order for
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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
Alright, lets get started.
Maria hiked the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times.
x times she hiked 5 mile mountain.
So, number of mils she hiked for 5 miles will be = 5 x
Similarly,
y times she hiked 10 mile canal,
So, number of miles she hiked for canal = 10 y
So, total number of miles she hiked =
But as per question given, she had a total of 90 miles
It means
Dividing this equation with 5
So, the equation is : Answer
Hope it will help :)