PFA

Test #1(100 points)
Math 201
Q1. Find an equation of the line passing through the points (-3,-1) and (2,4)
Solution:
Equation of the line passing through two points (a,b) and (c,d) is given by
The equation of the line passing through (-3,-1) and (2, 4) =
Q2. Find the length and the mid-point of the line segment whose endpoints are (2,-2) and (5,2).
Solution:    
The distance between two points (a,b) and (c,d) is .

The mid-point of the line segment whose endpoints are (a,b) and (c,d) is
Hence, the mid-point of the line segment joining (2,-2) and (5,-2) is
Q3. Find the center and radius of the circle whose equation is
--- (A)
Solution:
The equation of the circle is --- (B), where ( h, k ) is the center and r is the radius.
can be written in the form (B) which is given by,
Hence, the center and radius of (A) are (-2,3) and 6 units respectively.
Q4. An electricity bill varies directly as the amount of electricity used. The bill for 1400 kilowatts of electricity is $98. What is the bill for 2200 kilowatts of electricity?
Solution:
The bill for 1400 kilowatts of electricity = $98
Then, the bill for 1 kilowatt of electricity is $98/1400
Therefore, the bill for 2200 kilowatts of electricity is $ = $154.
Q5. You are choosing between two long distance telephone plans. Plan A has a monthly fee of $20 with a charge of $0.05 per minute for all long distance calls. Plan B has a monthly fee of $5 with a charge of $0.10 per minute for all long distance calls.
|(a) Express the monthly cost for plan A, f as a function...