Constant of Proportionality
If a proportional relationship is represented by the equation \(y = 7x\), what is the constant of proportionality, \(k\)?
7
A model flagpole uses a scale of 1 inch = 4 feet. If the model measures 12 inches tall, this is the actual height of the flagpole in feet.
48 ft
A circle has a diameter of 10 cm. What is its circumference? Use π=3.14
What is 31.4cm
x y
1 3
2 6
3 ?
4 12
What is 9
Each movie ticket costs $8. How much will 5 tickets cost?
What is $40
A recipe shows that 3 cups of flour are used to make 12 cookies, representing a proportional relationship passing through the point \((3, 12)\). What is the constant of proportionality \(k\) relating the number of cookies (\(y\)) to the cups of flour (\(x\))?
4
A rectangle's side changes from 12 inches to 3 inches. What is the scale factor?
What is 0.25
Which formula finds circumference using diameter:
A: C=3.14 x d
B: C=3.14 x r x 2
C: C= 3.14 x r x r
What is A
x y
2 5
4 10
6 ?
8 20
What is 15
A babysitter earns $12 per hour plus a one-time $5 travel fee. How much will the babysitter earn after working 4 hours?
What is $53
.
The table below shows the total cost (\(y\)) for buying \(x\) pounds of apples:
What is the constant of proportionality \(k\)?
2.5
A triangle has a side of 36 cm. Its scale factor is 1331. What is the new side length?
What is 12
A circular pizza has a diameter of 12 inches. What is the distance around its crust? Use π=3.14π=3.14.
What is 37.68 inches
If 1 notebook costs $2, how much do 4 notebooks cost?
What is $8
A gym charges a $10 sign-up fee and $15 per month. How much will it cost altogether after 6 months?
What is $100
Maya earns \(\$15.50\) per hour working at a bookstore. Which equation represents her total earnings (\(y\)) for working \(x\) hours?
y=15.50x
A shape is reduced by a scale factor of 1441. A side on the reduced shape is 7 cm. How long was the original side?
What is 28cm
A circular fountain has a circumference of 94.2 feet. What is the area inside the fountain? Use π=3.14
What is 706.5 ft
A taxi charges a $4 starting fee plus $3 per mile. Complete the table.
Miles Total Cost
1 $7
3 ?
5 ?
What is 21
What is 35
A candle is 20 inches tall and burns down 2 inches every hour. How tall will the candle be after 7 hours?
What is 6 inches
A graph shows a straight line passing through the origin \((0, 0)\) and the point \((1, 3.5)\). What does the \(y\)-coordinate of the point \((1, 3.5)\) represent in this proportional relationship?
k=3.5
A map uses a scale of 1cm:50,000km. Two towns are 6 cm apart on the map. What is the actual distance in kilometers?
What is 3km
A circular garden has a diameter of 20 feet. A fence goes all the way around it. How many feet of fencing are needed, and what is the area of the garden? Use π=3.14
Hint: You should have two answers
What is 62.8 ft of fencing
What is area = 314 ft
Is this table proportional? Explain why or why not.
x y
2 8
3 12
4 16
5 25
What is no because the last k-value is 5
A taxi charges $4 to start the ride and $3 per mile. If the total cost is $25, how many miles did the taxi travel?
what is 7 miles