Writing Linear Equations
Mrs Jones is driving an average rate of 60 km/h. She starts her journey 5 km away from home. Write a linear equation to model this situation.
y= 60x + 5
Luke has $200 in his wallet. Over the next few days he spends $15 per day on morning tea. Write an equation for the amount of money Luke has in his wallet.
y = -15x + 200
State the gradient and y-intercept in the following linear equation.
y = 8x - 7
m = 8
c = -7
Matthew is completing his maths homework. He has already completed 15 minutes of homework this week. He plans to continue doing 10 minutes each night. Write a linear equation to model this situation.
y=10x+15
Angela graduates high school and starts working. Her job gives her a sign-up bonus of $500 and pays her $30 per hour. Write a linear equation to model this situation.
y=30x+500
Mr Noonan is making cookies for the class. His oven is very small and he can only make cookies as fast as he can cook them. After baking for 20 minutes, he made 40 cookies. After baking for 40 minutes, he made 80 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, Claire decides to study for the quiz on Friday. She has already studied for 2 hours. She plans to study 1 more hour each night. Identify the x & y variables in this situation.
y= total hours spent studying
x= number of nights spent studying
Angela graduates high school and starts working. Her job gives her a sign-up bonus of $500 and pays her $30 per hour. Identify the x & y variables in this situation.
x= total hours worked
y= total dollars
Mr Noonan is making cookies for the class. His oven is very small and he can only make cookies as fast as he can cook them. After baking for 20 minutes, he made 40 cookies. After baking for 40 minutes, he made 80 cookies. Find the gradient for this linear equation.
Hint:
(y2-y1)/(x2-x1)
m= 2
Mrs Jones is driving an average rate of 60 km/h. She starts her journey 5 km away from home. The linear equation that models this situation is:
y=60x+5
Find out how many hours it would take to travel 185km from home.
3 hours
Angela graduates high school and starts working. Her job gives her a sign-up bonus of $500 and pays her $30 per hour. Use the equation:
y=30x+500
How much does Angela make after working 40 hours?
$1,700
Mr Noonan is making cookies for the class. His oven is very small and he can only make cookies as fast as he can cook them. After baking for 20 minutes, he made 40 cookies. After baking for 40 minutes, he made 80 cookies. Find the y-intercept for this linear equation.
Hint: Pick 1 point. m = 2.
c = 0
Mrs Jones is driving an average rate of 60 km/h. She starts her journey 5 km away from home. The linear equation that models this situation is:
y=60x+5
Find out how many kilometres Mrs Jones would travel if 7 hours have passed.
425km
Angela graduates high school and starts working. Her job gives her a sign-up bonus of $500 and pays her $30 per hour. Use the equation:
y=30x+500
How many hours will Angela have to work to earn $1,100?
20 hours
Mr Noonan is making cookies for the class. His oven is very small and he can only make cookies as fast as he can cook them. After baking for 20 minutes, he made 40 cookies. After baking for 40 minutes, he made 80 cookies. Write a linear equation to model this delicious situation. Then, using that equation, determine how long it will take for Mr Noonan to make 100 cookies.
The equation is:
y=2x
It will take Mr Noonan 50 minutes.