1. please turn in your better deal page to the box. 2. have your homework out to be stamped. 3....
TRANSCRIPT
1. Please turn in your BETTER DEAL page to the box.
2. Have your HOMEWORK out to be stamped.
3. Please be working on the graphing section of your SKILL
BUILDER.
Name: ________________________________ Date: ______________________ Period: ____ Weekly Homework 8th 2 - 2 Show all of your work to get credit.
MONDAY
1. Ace Car Rentals charges $20 per day plus a $10 service charge to rent one of its compact cars. Write an equation in the form of y = mx + b, where the slope represents , the cost per day and find the cost of renting a car for 15 days.
2. Write an equation to represent the relationship shown in the table.
y = 20x + 10 y = 20(15) + 10
y = 310
+ 32
+ 4 ∆ 𝒚∆ 𝒙
=𝟑𝟐𝟒
∆ 𝒚∆ 𝒙
=𝟖𝒚=𝟖 𝒙+𝟑
4(0) +2 2
4(1) +2 6
4(2) +2 10
4(3) +2 14
EXAMPLE: Zach has $50,000 in his bank account. Every month he spends $3,500. He
does not add money to the account. a. Write a linear model that shows how much money will be in the account after x months.
b. How much money will Zach have in his account after 10 months?#EX:
a.) Equation: ________________
b.) _________________
x y
0
2
4
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
EXAMPLE: Zach has $50,000 in his bank account. Every month he spends $3,500. He
does not add money to the account. a. Write a linear model that shows how much money will be in the account after x months.
b. How much money will Zach have in his account after 10 months?#EX:
a.) Equation: ________________
b.) _________________
x y
0
2
4
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
1. Conner has $25,000 in his bank account. Every month he spends $1,500. He does
not add money to the account. a. Write a linear model that shows how
much money will be in the account after x months.
b. How much money will Conner have in his account after 8 months?
#1: a.) Equation: ________________
b.) _________________
2. Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. a. Write a linear model that represents
the height of the plant after x days. b. What will the height of the plant be
after 20 days?
#2: a.) Equation: ________________
b.) _________________
3. Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson’s weight after x months.
b. After how many months will Mr. Thompson reach his goal weight of 220 pounds?
#3: a.) Equation: ________________
b.) _________________
4. Paul opens a savings account with $350. He saves $150 per month. Assume that he
does not withdraw money or make any additional deposits.
a. Write a linear model that represents the total amount of money Paul deposits into
his account after x months. b. After how many months will Paul have
more than $2,000?
#4: a.) Equation: ________________
b.) _________________
5. A cell phone plan costs $30 per month for unlimited calling plus $0.15 per text
message. a. Write a linear model that represents the monthly cost of this cell phone plan if the
user sends x text messages.
b. If you send 200 text messages, how much would you pay according to this cell
phone plan? #5: a.) Equation: ________________
b.) _________________
6. A salesperson receives a base salary of $35,000 and a commission of 10% of the
total sales for the year. a. Write a linear model that shows the
salesperson’s total income based on total sales of x dollars.
b. If the salesperson sells $250,000 worth of merchandise, what is her total income
for the year, including her base salary?#6: a.) Equation: ________________
b.) _________________
#1: a.) Equation: ________________
b.) _________________
x y
0
2
4
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
#2: a.) Equation: ________________
b.) _________________
x y
0
5
10
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
#3: a.) Equation: ________________
b.) _________________
x y
0
2
6
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
#4: a.) Equation: ________________
b.) _________________
x y
0
5
10
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
Name: _________________________________________ Date: __________ Period: _______
Writing Equations of Lines
#5: a.) Equation: ________________
b.) _________________
x y
0
50
100
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
#6: a.) Equation: ________________
b.) _________________
x y
0
50,000
100,000
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
CONCLUSION QUESTION: The graph shows the activity in a savings account.
a.) What was the amount of the initial deposit that started this savings account?_____________________
b.) Make a table of values from the graph.
c.) Find the slope and y-intercept of the graphed line. _____________________
Months in plan2 4 6
Amou
nt S
aved
($)
2000
4000months $
0
2
4
6
d.) Write an equation in slope-intercept form for the activity in this savings account.
e.) Explain the meaning of the slope in this graph.