Independent & Dependent Variable
Name the dependent variable from the relationship. Distance traveled depends on time.
What is distance
Write the relationship in the form of:
____________ depends on _______
From the following scenario: Jack makes $10 an hour working at the grocery store.
the money made depends on the number of hours worked
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
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
Tell whether the ordered pair is a solution:
y=5x-10; (3,5)
Yes
James gets paid $5 an hour. Which is the dependent variable, hours worked or money made?
What is money made
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
Find the pattern in the table to write an equation. hours (h) miles(m)
1 10
2 20
3 30
m=10h
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
Tell whether the ordered pair is a solution:
y=7x+2; (2, 0)
No
Write the relationship in the form of:
____________ depends on _______
The amount of fluid ounces left in a soda bottle after a certain number of cups have been poured.
the amount of soda left depends on the cups poured.
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=15m+50
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=0.25m + 3.00
Fill in the blank so that the ordered pair IS a solution to the equation:
y=8x+3; (1, _)
y=11
On a table, which side of the table is ALWAYS the left side, making it ALWAYS the X.
independent variable
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=0.10m + 2.00
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
Fill in the blank so that the ordered pair IS a solution to the equation:
y=3x+2; ( _ , 17)
5
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.
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
Look at the table and write an equation.
days (d) time(t)
1 30
2 45
3 60
t= 15d + 15
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
Fill in the blank so that the ordered pair IS a solution to the equation:
y=22-9x; ( _ , 4)
2