Writing Linear Equations
Mr. Butler is driving an average rate of 25mph. He starts his journey 5 miles away from home. Write a linear equation to model this situation.
y= 25x + 5
a) underline the numbers
b) solve for m
c) write the slope-intercept form equation
d) answer the question
a) underline the numbers
After underlining the numbers and circling the units I need to:
a) Circle more numbers
b) Solve for b
c) write out what x=, y=, m=, and b=
d) Raise my hand and ask Mr. Butler what I should do next.
c) write out what x=, y=, m=, and b=
Ygor is completing his Khan Academy homework. He has already completed 30 minutes of Khan Academy this week. He plans to continue doing 10 minutes each night. Write a linear equation to model this situation.
y=10x+30
Dimitri graduates Tiegerman high school and starts working. His job gives him a sign-up bonus of $500 and pays him $30 per hour. Write a linear equation to model this situation.
y=30x+500
Ms. Black is making cookies for the class. Her oven is very small and she can only make cookies as fast as she can cook them. After baking for 40 minutes, she made 40 cookies. After baking for 50 minutes, she made 60 cookies. Identify the x & y variables in this situation.
x= minutes passed
y= number of cookies
There is a relationship between how long you study and what grade you receive on your quiz. Knowing this, Roeny decides to study for the quiz on Friday. He has already studied for 2 hours. He plans to study 1 more hour each night. Identify the x & y variables in this situation.
x= total hours spent studying
y= number of nights spent studying
Dimitri graduates Tiegerman high school and starts working. His job gives him a sign-up bonus of $500 and pays him $30 per hour. Identify the x & y variables in this situation, and write the equation
x= total hours worked
y= total dollars
y=30x+500
Ms. Black is making cookies for the class. Her oven is very small and she can only make cookies as fast as she can cook them. After baking for 40 minutes, she made 40 cookies. After baking for 50 minutes, she made 60 cookies. Find the slope for this linear equation.
Hint:
(y2-y1)/(x2-x1)
m= 2
Mr. Butler is driving an average rate of 25mph. He starts his journey 5 miles away from home. The linear equation that models this situation is:
y=25x+5
Find out how many hours it would take to travel 130 miles from home.
5 hours
Dimitri graduates Tiegerman high school and starts working. His job gives him a sign-up bonus of $500 and pays him $30 per hour. Use the equation:
y=30x+500
How much does Dimitri make after working 40 hours?
$1,700
Ms. Black is making cookies for the class. Her oven is very small and she can only make cookies as fast as she can cook them. After baking for 40 minutes, she made 40 cookies. After baking for 50 minutes, she made 60 cookies. Find the y-intercpet for this linear equation.
Hint: Pick 1 point. The slope = 2.
b = 20
Mr. Butler is driving an average rate of 25mph. He starts his journey 5 miles away from home. The linear equation that models this situation is:
y=25x+5
Find out how many miles Mr. Butler would travel if 7 hours have passed.
180 miles.
Dimitri graduates Tiegerman high school and starts working. His job gives him a sign-up bonus of $500 and pays him $30 per hour. Use the equation:
y=30x+500
How many hours will Dimtri have to work to earn $1,100?
Ms. Black is making cookies for the class. Her oven is very small and she can only make cookies as fast as she can cook them. After baking for 40 minutes, she made 40 cookies. After baking for 50 minutes, she made 60 cookies. Write a linear equation to model this delicious situation. Then, using that equation, determine how long it will take for Ms. Black to make 100 cookies.
The equation is:
y=2x+20
It will take Ms. Black:
70 minutes