Although the rules of probability are just basic facts about percents or proportions, we need to be able to use the language of
1 answer:
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Answer:
The required system of equations is,
.
Step-by-step explanation:
Let the number of hours spent by Lucy = x
It is given that,
Local zoo charges initial fee $25 and per hour fee $1.
So, the equation representing the cost if Lucy stays 'x' hours is,
in dollars.
Also, Local citcus charges initial fee $20 and per hour fee $2.
So, the equation representing the cost if Lucy stays 'x' hours is,
in dollars.
Since, the objective function for the situation is to 'minimize the cost'.
So, upon solving the equations, we will get the minimum value as,
25+x = 20+2x
i.e. x= 5
Thus,
implies
i.e. y= $30
implies
i.e.
i.e. y= $30
Thus, the minimum value is $30.
The required system of equations is,
.
The current rate is simply equal to $175 per month, let us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
