Reading functions
Writing Functions
Proportionality
Real-world
Similar lines
100
What are the coordinates of the origin?
(0,0)
100
What is the y-intercept of the linear function
y=-2/3 x-5
y = -5
100
Is this linear function a proportional relationship?
No. It is a straight line but it does not pass through (0, 0)
100
Write a function to show the cost of hiring a gardener who has an hourly rate of 250kr and a starting fee of 200kr.
y = 250x + 200
100
Write the equation of a different function that crosses that y axis at the same point as y = 7x + 3.
Any function where m = 3.
200
What is the fixed cost of this business?
$4 000
200
Draw a graph of the function
y=1/2x-3
200
Is this function a proportional relationship?
No. It passes through (0, 0), but it is not a straight line.
200
Ms. Ashfield wants Disney+. She can pay 75kr per month, or buy a year membership for 750kr. How long does she need to subscribe to make the annual membership a better option?
11 months (at 10 months the costs are the same).
200
Draw a graph that shows the function y = x.
300
What is the variable cost of the blue function?
$4/minute
300
What is the x-intercept of the function
y=4/3x+8
x = -6
300
Ms. Adair is buying a vehicle. The motorcycle costs 40 000kr, and the car costs 80 000kr. She is concerned about the price per wheel. Is the price proportional to the number of wheels?
Yes, with each option she will pay 20 000kr per wheel.
300
Telia charges 30kr/month plus 5 kr per gigabyte of data. Halebop charges only 15 kr/month but data costs 8 kr per gb. What is the most gb you can use in a month and still have Halebop be cheaper?
<5 gb
300
Write a function that is parallel to
y=- 3/2 x+4
Any function with k=-3/2
400
What % more does it cost to rent 20 movies than 15 movies? Assume the points intersect at reasonable places.
20% more
400
What equation describes this line?
y = 4
400
Looking for bugs outside, Mr. Millington searches 3m2 of ground and finds 128 bugs. Then he searches a different 10m2 and finds 1280 bugs. Is the number of bugs proportional to the area he searches?
No, in his first search he finds 42,7 bugs/m2, while in his second search he finds 128 bugs/m2.
400
The IESS kitchen prepares 50L of strawberry jam for pancake day. If each student takes 5cl of jam with their pancakes, how many students will have been served when there is 10,5L of jam left?
790 students
400
At what coordinates do the following two functions meet?
y = x + 2
y = ½x + 1
(-2, 0)
500
Kelsey started knitting a blanket yesterday, and is now working on it again. She graphs her progress. Assuming her rate remains constant, how many hours will it take her to complete the 300 rows of the blanket?
9.6 hours
500
What is the linear function that passes through the points (120, -2100) and (600, 700).
y = 35/6 x - 2800
500
A business can make 1500 toys for 11 750 kr. They can also make 2500 toys for 14 250 kr. What is their fixed cost?
8 000 kr.
500
A camp charges a registration fee and a daily charge. One camper stayed 12 days and was charged $338. Another camper stayed 19 days and was charged $506. How much would it cost to go for 30 days?
$770.
500
A function
y=2/3 x+5
and another function meet when x = -6. If the other function has a y intercept of 3, what is the other function?
y=1/3 x+3