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I can solve real-life applications by writing linear models in slope-intercept form and standard form.
Algebra 1
Name: ____________________________________
Unit 3: L7
Date:
______________
Period: ________
HOMEWORK # 1… Applications of Linear Functions (Writing Linear Equations)
Remember to underline key concepts and focus on the last sentence. LABEL, LABEL, LABEL!
1)
You are in charge of buying prizes for a school contest. A non-first place ribbon costs $2.00 and a a
first-place ribbon costs $3.00. You have $10 to spend. Write an equation that represents the different
numbers of non-first place and first-place ribbons you can buy.
A)
Let x =
Let y =
2)
B)
Equation:
C)
What is the greatest number of students who can earn a first-place ribbon?
You are buying $20 worth of bird seed that consists of two types of seed. Thistle attracts finches and
costs $2 per pound. Dark oil sunflower seeds attracts many kinds of song birds and costs $1.50 per
pound. Write an equation that represents the different amounts of $2 thistle seed, x ,and $1.50 dark
oil sunflower seed, y ,that you could buy.
A)
Let x =
Let y =
B)
Equation:
C)
If you buy 5 pounds of dark oil sunflower seed, how many pounds of thistle seed can you
buy?
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3)
I can solve real-life applications by writing linear models in slope-intercept form and standard form.
The table shows the number of dollars (in billions) spent on maps and travel
books in the United States from 2000-2005. Write a linear equation that
models this data.
A)
Let x =
Let y =
4)
Years
Since 2000
Billons of Dollars
0
1
2
3
4
5
16.5
16.9
15.7
13.1
13
10.5
B)
Equation:
C)
Interpret the slope.
D)
Interpret the y-intercept.
E)
Use the linear model from part B to estimate the number of dollars (in billions) the United
States would have spent on maps and travel books in the year 2020.
A salesperson at Best Buy earns a monthly pay of $950 plus an 8% commission on all sales. Write an
equation in slope-intercept form that gives the total monthly pay y in terms of sales x.
A)
Let x =
Let y =
B)
Equation:
C)
Interpret the y-intercept.
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5)
I can solve real-life applications by writing linear models in slope-intercept form and standard form.
You are on a roller coaster. After 3 seconds, you are 190 feet above the ground and have reached
maximum speed. One second later, you are 95 feet aboce the ground. Write an equation for the height
h in terms of the time t.
A)
Let h =
Let t =
6)
B)
Equation:
C)
Interpret the slope.
D)
Interpret the y-intercept.
E)
When will you reach ground level?
Use the graph showing Television Advertising (in millions) for different
years, with x representing the number of years since 1995. Write a
linear model that models expenditures, y , in terms of years since
1995, x.
A)
Let x =
Let y =
B)
Equation:
C)
Interpret the slope.
D)
Predict the expenditures for advertising in the year 2015.
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7)
I can solve real-life applications by writing linear models in slope-intercept form and standard form.
You borrow $40 from your sister. To repay the loan, you pay her $5 a week. Write a linear model of this
situation for the amount y you owe your sister in terms of x how many payments you made.
A)
Let x =
Let y =
8)
B)
Equation:
C)
Interpret the slope.
D)
Interpret the y-intercept.
E)
How much money do you owe your sister after 5.5 weeks?
An alligator is 9 inches long at birth and grows 8 inches per year. Write an equation that represents the
length y (in inches) of an alligator that is x years old.
A)
Let x =
Let y =
B)
Equation:
C)
Interpret the slope.
D)
Interpret the y-intercept.
E)
If an alligator is 9 years old, how long is it (in inches)?