Download a.) Equation

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.) _________________
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.
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.