Constant of Proportionality
A table shows that 2 notebooks cost $4 and 5 notebooks cost $10.
What is the constant of proportionality?
Write an equation for this situation.
$2 for each notebook
y=2x
A pair of sneakers costs $50. The store is offering a 20% discount.
What is the final price after the discount?
The sneakers are $40 after the discount
A circle has a radius of 5 cm.
Find the circumference. Use 3.14 for pi.
C=31.4 cm
Solve: x+7=15
What is the value of x?
x=8
On a map, 1 inch represents 5 miles.
How many miles is 3 inches?
15 miles
A graph passes through (1, 3) and (4, 12).
What is the constant of proportionality?
Write an equation for this situation
k=3
y=3x
A video game costs $40. Sales tax is 6%.
What is the total price after tax?
The video game is $42.40 after tax
A circle has a diameter of 12 meters.
Find the circumference. Use 3.14 for pi
C=37.68 meters
Solve: 3x=21
What is the value of x?
x=7
A drawing uses a scale of 1 cm = 4 meters.
How long is 6 cm in real life?
24 meters
A relationship is represented by the equation y=6x.
What does the constant of proportionality represent?
x times 6 will result in y
Your bill at Jaspers is $36. You leave a 15% tip.
What is the total amount paid?
The total after tax is $41.40
A bike wheel has a radius of 14 inches.
How far does it travel in one rotation?
The bike can travel 87.92 inches
Solve: 3(x+4)=24
What is the value of x?
x=4
A map shows two cities 2.5 inches apart.
If the scale is 1 inch = 20 miles, how far apart are the cities?
The two cities are 50 miles apart
Is this function table proportional? If so, find k.
Yes, it is proportional
k=2.5
A store buys a jacket for $60 and marks it up by 25%.
What is the new selling price?
The new sale price is $75
A circular track has a diameter of 30 meters.
How far does a runner travel after 3 laps?
The runner will travel 282.6 meters in 3 laps
A student is buying 6 pencils for school. Each pencil costs the same amount. They also pay a $4 fee for a pencil case. Altogether, the student spends $28.
Write and solve an equation to find the cost of one pencil.
6x+4=28
x=$4 for each pencil
A model car is built at a scale of 1:10.
If the real car is 50 inches long, how long is the model?
5
A runner travels 12 miles in 1.5 hours.
Write an equation in the form y=kx where y = distance and x = time.
y=8x
8 miles per hour
A television originally costs $200. It is marked down by 30%.
What is the final price after the markdown?
The final price of the tv is $140
A garden in the shape of a semicircle has a diameter of 28 meters.
What is the circumference?
C=71.96 meters
A teacher buys 5 identical supply kits for her class. Each kit contains (x + 3) items. Altogether, the teacher bought 40 items.
Write and solve an equation to find the number of notebooks in each kit.
5(x+3)=40
x=5 notebooks in each kit
A blueprint shows a wall that is 8 inches long.
The scale is 1 inch = 3 feet.
What is the actual length of the wall?
24 feet