In: Math
2. The Cost, $C, of hiring a repairman for H hours is given by C = 50 + 25h.
A. What does the repairman charge to walk in the door? B. What is his hourly rate?
3. The population a town, t years after it is founded, is given by P(t) = 5000 + 350t.
A. What is the population when it is founded? B. What is the population of the town two years after it is founded?
4. Find the slope and Y-intercept for each of the following:
a. -2y= -5x+9
b. Y = -16 - 4(-5 -3x)
c. 4x + 3y =-12
d. 5y - 3x - 10 = 0 5.
Find the equation of a line that passes through (6,7) and (6,1)
6.Find an equation of a line that is parallel to 3x + 5y = 6 and passes through (0, 5)
7. The total cost C of a yellow cab call lasting N minutes is $4.75 plus an additional charge of $2.50/mile.
A. Use a linear equation to describe the scenario B. How long was the cab ride if the total cost of the fare was $38.50?
Solve the following system of equations algebraically and check
a. 7x + 5y = -1
11x + 8y = -1
b. 5x + 2y = 1
2x - 3y = 27
8. Solve the following system of equationss graphically.
Y = -2X + 7
Y = 4X + 11
Q2 The Cost, $C, of hiring a repairman for H hours is given by
C = 50 + 25h
A) the repairman charge to walk in the door, That is when he yet to start work(h=0)
C=50+25*0
C=50
Hence the repairman charge to walk in the door is $50.
B) The repairman charge fixed amount into the door. And his per hour charge is $25
Q3. The population of a town, t years after it is founded, is given by P(t) = 5000 + 350t.
A) the population when it is founded =5000
B) the population of the town two years after it is founded is given by:
that is when t=2
P(t) = 5000 + 350*2
P(t) = 5000 + 700
P(t) = 5700
Q4.
a) given equation is
-2y= -5x+9
that is y=(5/2)x-(9/2)
hence slope=(5/2) and y-intercept -(9/2)
b. y = -16 - 4(-5 -3x)
that is y=-16+20+12x
y=12x+4
hence slope=12 and y-intercept 4
c. 4x + 3y =-12
3y=-4x-12
y=(-4/3)x-3
hence slope=(-4/3) and y-intercept -3
d. 5y - 3x - 10 = 5
5y=3x+15
y=(3/5)+3
hence slope=(3/5) and y-intercept 3