The Real World
Fun Functions
Graphical Goodness
Squares, Roots, Rotations, and an Old Greek.
All about Libra
It's the same picture!
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.
ex:
y=2x+3
or
y=5/4x+3
100
What is the y-intercept of the linear function (where does it cross the y-axis)?
y=-2/3 x-5
(0,-5)
100
How many degrees must this shape be rotated before you get the same shape again?
360/5 = 72º
100
You are drawing a picture of famous basketball player Michael Jordan (height: 198 cm). You make your drawing 16,5 cm high. What scale did you make your drawing in?
1:12
100
Find x
x = 9
200
What is the variable cost in the graph below?
$4/minute
200
Does this linear function show a proportional relationship?
No. It is a straight line but it does not pass through (0, 0)
200
Draw a graph of the function
y=1/2x-3
200
How far is it across this square?
17.2
200
Find the volume of shape B. (note: m2 should be m3)
4800 m3
200
Find the length of x.
7.5 cm
300
The IESS kitchen prepares 50L of strawberry jam for pancake day, and each student takes 5 cl of jam with their pancakes.
Write a function for the amount of jam left after x students have eaten, and then find how many students will have been served when there is 10,5L of jam left.
y = -0,05x + 50 or y = -5x + 5 000
790 students
300
Write a function that is parallel to
y=- 3/2 x+4
Any function with k=-3/2
300
What is the x-intercept of the function (where does it cross the x-axis)?
y=4/3x+8
(-6,0)
300
Find the area of this triangle.
97,5 cm2
300
5400 cm3
300
Find the missing length EG
EG = 42 cm
400
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.
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
Draw a graph that shows the function y = x.
400
(√16 + √9)2=
49
400
Find the area of shape A
20 cm2
400
Find the length of CE.
CE = 3
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
At what coordinates do the following two functions meet?
y = x + 2
y = ½x + 1
(-2, 0)
500
What is the linear function that passes through the points (120, -2100) and (600, 700).
y=35/6x-2800
500
In a right angled triangle the base is 3x, and the height is 4x. The hypothenus is 60 cm. How long are the two unknown sides?
36 & 48 cm.
500
The volume of two similar rectangular prisms are 8000 cm3 and 4096 cm3. The front side of the larger prism is 800 cm2. How large is the front side of the smaller prism?
Length scale = 4:5
Area of the smaller prism's front side = 512 cm2
500
Solve for x & y.
x = 17,1
y = 26,25