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Independent & Dependent Variable
Relationships
Writing Equations from Tables
Writing Equations from Scenarios
Solving Equations
100
Name the dependent variable from the relationship. Distance traveled depends on time.
What is distance
100
Write the relationship in the form of ____________ depends on _______ of the following scenario: Jack makes $10 an hour working at the grocery store.
the money made depends on the number of hours worked
100
Look at the table below. Look for a pattern from the left side to the right side, then write an equation. hours miles 1 40 2 80 3 120
m=40h
100
John gets paid $7 an hour working at a local diner. Write an equation to find the total amount he makes, t, after working h, hours.
t= 7h
100
Mark charges $25 for each piano session he teaches. How much money would he make after teaching 4 piano sessions?
$100
200
James gets paid $5 an hour. Which is the dependent variable, hours worked or money made?
What is money made
200
Write the relationship between days and money in the following scenario: Thomas gets $2 a day working with his granddad after school.
Money depends on days
200
Find the pattern in the table to write an equation. hours (h) miles(m) 1 10 2 20 3 30
m=10h
200
Sarah makes bracelets for extra money. Write an equation to find the total amount she makes, t, after making b, bracelets, if she charges $1.25 a bracelet.
t=1.25b
200
Shirley makes bracelets. She uses 75 beads per bracelet. How many beads does she need to make 8 bracelets?
600
300
Name the independent and dependent variable in the following scenario: Rachel has a stamp collection. On the weekend, she goes and buys 2 more stamps.
Dependent- stamps Independent- number of weekends
300
Which of the following is true based on your knowledge of relationships? A. As the independent variable increases, the dependent variable stays the same. B. As the dependent variable increases, the independent variable increases. C. As the independent variable increases, the dependent variable increases. D. As the independent variable increases, the dependent variable decreases.
C. As the independent variable increases, the dependent variable increases
300
Sarah just opened her savings account. She began with $50. Each month she is going to deposit $15. Look at the table below, then write an equation to find the total money saved. Months (m) Total saved (t) 0 $50 1 $65 2 $80
t=50+15m
300
A taxi charges an initial fee of $3.00. Then, it is an additional $0.25 per mile. Write an equation to find the total amount paid, t, after riding for m, miles.
t=3.00 + 0.25m
300
Kelly makes $7 an hour at her part-time job. Each week, she saves $3 from her paycheck. How much would she save after 17 weeks?
$51 (1 week=$3, 17 weeks= 3(17))
400
On a table, which side of the table is ALWAYS the left side, making it ALWAYS the X.
independent variable
400
True or False? Walter drives 55 miles per hour on the highway. So the hours he drives, depends on the number of miles.
What is False
400
A taxi cab charges $2.00 initially, then $0.10 per mile. Look at the table, then write an equation to find the total cost, t, after riding for m, miles. miles cost 0 $2 1 $2.10 2 $2.20
t= 2.00 + 0.10m
400
Michael read his homework problem: Stacey charges an initial fee of $20 to babysit, then she asks for an additional fee of $5 per hour. Write an equation to find the total amount earned, t, after working h, hours. Michael said that the equation should be t=5 +20h Is he right?
no, should be t=20+5h
400
How much would a double burger cost if the restaurant charges $1.50 for each patty, and $1.75 for the buns.
total cost (t)= 1.50p + 1.75b = 1.50(2) + 1.75(1) = 3.00 + 1.75 = 4.75
500
I have an equation that states t=0.50d, which variable, t or d, is the DEPENDENT variable?
t because it is by itself. And that's what we are solving for.
500
Zane is training for a marathon. Each week, he is taking 1 minute off his time. If he can run a 10 minute mile now, how many minutes will he run a mile in 4 weeks?
6 minutes
500
Look at the table and write an equation. days (d) time(t) 1 30 2 45 3 60
t= 15 + 15d
500
The local diner has world-famous hamburgers. They charge $2.00 for every patty, and $1.25 for every set of hamburger buns. Write an equation to find the total cost, t, after buying a hamburger with p, patties, and b, sets of buns.
t=2.00p + 1.25b
500
How much would it costs to buy 4 sweaters from a website that charges $8.75 shipping and handling plus $1.99 per sweater.
t= 8.75 +1.99(s) = 8.75 + 1.99(4) = 8.75 + 7.96 = $16.71