Answer:
.
Step-by-step explanation:
It is given that a number, x, rounded to 2 significant figures is 1300.
It is possible if,
1. The value of x is greater than of equal to 1250 and less than or equal to 1300.
i.e., ...(1)
2. The value of x is greater than of equal to 1300 and less than 1350.
i.e., ...(2)
On combining (1) and (2), we get
1350 is not included in the error interval for x.
Interval notation is .
Therefore, the error interval for x is .
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,
.