Homework Week of November 9
Due: Friday, November 13
Monday, November 9 Write in slope-intercept form the equation of the line that is parallel to the given line and passes
through the given point. 1. y = x + 5, (-1, -1)
2. y = -3x + 1, (2, 4)
3.
y
1
x  6 , (3, 3)
4
Use point-slope form to write an equation in slope-intercept form of the line that is perpendicular to the given line and passes
5. y  
through the given point. 4. y = 3x - 1, (1, -3)
1
x  4 , (8, 5)
2
6. y = x + 2, (3, 0)
Complete the statement with always, sometimes, or never.
7. A horizontal line is _______________________ perpendicular to a vertical line
8. The line y = 2x + 3 is ____________________ perpendicular to a line with slope -2
9. The line y  
1
x  5 is ________________________ perpendicular to a line with slope 3.
3
Tuesday, November 10
1. What values of b make an exponential function represent growth? Decay?
2. Label each function as growth of decay:
a. Y = 2.4(3)x
5
b. y = 7(.98) x c. y = 1.9(2) x
2
d. y = 4(7) x
e.
3. Find the growth/decay factor: (HINT: divide each y-coordinate by the previous y-coordinate)
Determine if the function is growth or decay.
X 1 2
3
4
5
Y
6 18 54 162 486
x 0
1
2
Y 50 55 60
0
0
5
X 0
1 2
3
4
Y 10 2 6.2 1.562 0.39062
0
5 5
5
5
Wednesday, November 11 – HOLIDAY
3
665.5
0
4
732.0
5
Thursday, November 12
1. Given the equation y = 35(0.57)x
a. Does the equation represent growth or decay?
c. What is the initial value?
b. What is the rate of growth or decay?
d. Evaluate for x = 5.
2. Look at each exponential function and identify the initial value, growth/decay factor, and growth/decay rate.
a. y = 1.3x
b. y = 9(3) x
c. y = 1.4(1.03) x d. y = 1.9(0.2) x
e. y = 0.91 x
f. y = 16(0.75) x
Friday, November 13
1. Ryan is saving for his college tuition. He has $2, 550 in a savings account that pays 6.25 % annual interest.
a. Write an exponential equation describing the situation.
b. How much money will Ryan have in his account 6 years from now?
2. A used car was purchases for $12,329 this year. Each year the car’s value decreases 8.5%.
a. Write an exponential equation describing this situation.
b. What will the car be worth in 2020?
3. Your baby brother has an ear infection. The doctor said there are probably 50,000,000 bacteria in his left ear.
The penicillin the doctor prescribed will kill 7% of the bacteria every hour. How many bacteria will be in your
brother’s ear in… a. 1 day
b. 1 week
c. 3 hours
Homework Week of November 9
Monday, November 9 Write in slope-intercept form the equation of the line that is parallel to the given line and passes
through the given point. 1. y = x + 5, (-1, -1)
2. y = -3x + 1, (2, 4)
3.
y
1
x  6 , (3, 3)
4
Use point-slope form to write an equation in slope-intercept form of the line that is perpendicular to the given line and passes
5. y  
through the given point. 4. y = 3x - 1, (1, -3)
1
x  4 , (8, 5)
2
6. y = x + 2, (3, 0)
Complete the statement with always, sometimes, or never.
7. A horizontal line is _______________________ perpendicular to a vertical line
8. The line y = 2x + 3 is ____________________ perpendicular to a line with slope -2
9. The line y  
1
x  5 is ________________________ perpendicular to a line with slope 3.
3
Tuesday, November 10
1. What values of b make an exponential function represent growth? Decay?
2. Label each function as growth of decay:
a. Y = 2.4(3)x
5
b. y = 7(.98) x c. y = 1.9(2) x
2
d. y = 4(7) x
e.
3. Find the growth/decay factor: (HINT: divide each y-coordinate by the previous y-coordinate)
Determine if the function is growth or decay.
X 1 2
3
4
5
Y
6 18 54 162 486
x 0
1
2
Y 50 55 60
0
0
5
X 0
1 2
3
4
Y 10 2 6.2 1.562 0.39062
0
5 5
5
5
Wednesday, November 11 – HOLIDAY
3
665.5
0
4
732.0
5
Thursday, November 12
1. Given the equation y = 35(0.57)x
a. Does the equation represent growth or decay?
c. What is the initial value?
b. What is the rate of growth or decay?
d. Evaluate for x = 5.
2. Look at each exponential function and identify the initial value, growth/decay factor, and growth/decay rate.
a. y = 1.3x
b. y = 9(3) x
c. y = 1.4(1.03) x d. y = 1.9(0.2) x
e. y = 0.91 x
f. y = 16(0.75) x
Friday, November 13
1. Ryan is saving for his college tuition. He has $2, 550 in a savings account that pays 6.25 % annual interest.
a. Write an exponential equation describing the situation.
b. How much money will Ryan have in his account 6 years from now?
2. A used car was purchases for $12,329 this year. Each year the car’s value decreases 8.5%.
a. Write an exponential equation describing this situation.
b. What will the car be worth in 2020?
3. Your baby brother has an ear infection. The doctor said there are probably 50,000,000 bacteria in his left ear.
The penicillin the doctor prescribed will kill 7% of the bacteria every hour. How many bacteria will be in your
brother’s ear in… a. 1 day
b. 1 week
c. 3 hours