1. Please turn in your
HOMEWORK to the box.
2. Please pick up your
WEEKEND SKILL BUILDER.
3. Complete the LAST section of
your SKILL BUILDER.
4. Please keep your SYSTEMS
out to check.
𝒚 − 𝒊𝒏𝒕𝒆𝒓𝒄𝒆𝒑𝒕
𝒔𝒍𝒐𝒑𝒆
Write an equation in the form y = mx + b to
represent the relationship shown in the table.
+4
x
y
+ 32
y = 8x + 3
𝟑𝟐
𝟒
𝟖
𝟖 x 6 + ____ = 51
𝟒𝟖 + ____ = 51
y = 8(10) + 3
y = 83
𝟒𝟖 +
3 = 51
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.) _________________
c.) Complete the table
using your equation.
x
0
2
4
y
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.) _________________
c.) Complete the table
using your equation.
x
0
2
4
y
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.) _________________
Name: _________________________________________ Date: __________ Period: _______
Writing
#1:
a.) Equation: ________________
Equations of Lines
#3:
a.) Equation: ________________
b.) _________________ d.) Graph the equation using m
b.) _________________ d.) Graph the equation using m
c.) Complete the table
using your equation.
c.) Complete the table
using your equation.
and b or ordered pairs.
x
y
and b or ordered pairs.
x
0
0
2
2
4
6
y
#2:
a.) Equation: ________________
#4:
a.) Equation: ________________
b.) _________________ d.) Graph the equation using m
b.) _________________ d.) Graph the equation using m
c.) Complete the table
using your equation.
c.) Complete the table
using your equation.
and b or ordered pairs.
x
y
and b or ordered pairs.
x
0
0
5
5
10
10
y
CONCLUSION QUESTION:
The graph shows the activity in a savings account.
b.) _________________ d.) Graph the equation using m
a.) What was the amount
of the initial deposit that
started this savings
account?
_____________________
and b or ordered pairs.
c.) Complete the table
using your equation.
x
y
b.) Make a table of values
from the graph.
0
50
months
100
0
$
2
Amount Saved ($)
#5:
a.) Equation: ________________
4000
2000
4
#6:
a.) Equation: ________________
b.) _________________ d.) Graph the equation using m
and b or ordered pairs.
c.) Complete the table
using your equation.
x
0
50,000
100,000
y
6
2
4
6
Months in plan
c.) Find the slope and yintercept of the graphed
line.
_____________________
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.