Functions
Volume
Surface Area
Random
100
Determine if each relation is a function
a. (1,5), (2,7), (3,9), (4,11)
b. (2,4), (2,6), (3,7)
a. Yes, it is a function. Every x-value has one y-value.
b. No, it is not a function. The input x=2 has two outputs (4 and 6)
100
Find the volume of a cylinder with a radius of 4 cm and a height of 10 cm. Round to the nearest tenth.
V=502.7cm^3
100
Find the surface area of a cylinder with a radius of 3 m and height of 8 m. Round to the nearest tenth.
SA = 207.3m^2
100
What is the number one rule for a function.
Every input has exactly one output
200
Function A is shown in the table:
a. (1,6), (2,10), (3,14), (4,18)
Function B is given by the equations:
y=3x+4
Which function has the greater rate of change?
Function A rate of change: m=4
Function B rate of change: m=3
Function A has the greater rate of change.
200
Find the volume of a sphere with a radius of 6 cm. Round to the nearest tenth.
V=904.8cm^3
200
Find the surface area of a sphere with a radius of 5 in. Round to the nearest tenth.
SA= 314.2in^2
200
A taxi company charges $3 for the initial fee and $2 per mile.
a. Write a function c(m) that represents the total cost after m miles.
b. what would be the cost of a 10-miles ride?
a. c(m)=2m+3
b. Cost = $23
300
The function C(x)= 5x+20 represents the total cost in dollars to rent a kayak for X hours.
a. What does the number 20 represent?
b. What does the number 5 represent?
a. 20 represents the starting cost (initial fee to rent the kayak
b. 5 represents the cost per hour to rent the kayak.
300
A soup can has a radius of 3 cm and a height of 12 cm.
What is the volume of soup the can can hold? Round to the nearest tenth.
V= 339.3cm^3
300
Find the surface area of a cone with a radius of 5 m and slant height of 13 m. Round to the nearest tenth.
SA= 282.7m^2
300
No, it is not a function.
400
The table shows a relationship between x and y.
(1,3), (2,5), (3,7), (4,9)
a. Write an equation for the function
b. What would be the value of y when x=10?
a. y=2x+1
b. when x=10, the y-value will be 21.
400
A sphere has a diameter of 14 cm.
a. What is the radius?
b. Find the volume of the sphere.
a. 7cm
b. V=1436.8cm^3
400
A cylindrical water tank has a radius of 5 m and height of 15 m.
How much material is needed to cover the outside surface of the tank? Round to the nearest tenth.
SA = 628.3m^2
400
V= 3,052.08in Cubed
500
A graph shows a line passing through the points (0,2) and (4,10).
a. What is the rate of change?
b. Write the equation of the function in slope-intercept form.
a. m=2
b. y=2x+2
500
The volume of a cone is 100.5 cm³ and the radius is 3 cm.
Find the height of the cone.
h = 10.7cm
500
A water bottle has a radius of 3 cm and height of 10 cm.
Find the total surface area of the bottle.
SA - 245cm^2
500
A cylinder and cone have the same radius (6 cm) and same height (12 cm).
a. Find the volume of the cylinder.
b. Find the volume of the cone.
c. Which one holds more volume?
a. V= 1357.2cm^3
b. V= 452.4cm^3
c. Cylinder holds 3 times more volume.