Outchea tryna function
f(10) = 2x + 5
Simplify.
f(10) = 25
a = 3
b = 4
c = ?
a2 + b2 = c2
32 + 42 = c2
c2 = 25 = 9 + 16
c = 5
Which gatorade dispenser has the larger volume?
Assume they are perfect cylinders.
V = pi * r2 * h
V1 = pi * 52 * 8 = 200pi
V2 = pi * 32 * 13 = 117pi
V1 > V2
Fill in the two-way table.
215
20
170
x10 * x2
x12
f(5) = x2 + 13
Simplify.
f(5) = 38
a = 6
b = 8
c = 10
a2 + b2 = c2
62 + 82 = c2
c2 = 100 = 36 + 64
c = 10
Which water cup has the larger volume?
Assume they are perfect cones.
V = pi * r2 * h * 1/3
V1 = pi * 22 * 10 * 1/3 = 13.33pi
V2 = pi * 42 * 4 * 1/3 = 21.33pi
V1 < V2
Fill in the two-way table.
460
100
430
530
990
x5y2 * x3y4
x8y6
f(13) = 3x - 12
Simplify.
f(13) = 27
a = 12
b = 11
c = ?
a2 + b2 = c2
122 + 112 = c2
c2 = 265 = 144 + 121
c = sqrt (265) = about 16.3
Which basketball has the larger volume?
Assume they are perfect spheres.
V = pi * r3 * 4/3
V1 = pi * 43 * 4/3 = 85.33pi
V2 = pi * 33 * 4/3 = 36pi
V1 > V2
What percent of Duke fans live in Chapel Hill?
About 11.8%
20 out of 170
(a3)3 * a3
a12
f(18) = 2x - 30
Simplify.
f(18) = 6
a = 3
b = ?
c = 10
a2 + b2 = c2
32 + b2 = 102
b2 = 91 = 100 - 9
b = sqrt(91) = 9.5
A cone and cylinder both have the same radius and height.
If the cylinder's volume is 900,000, what is the cone's volume?
Vcylinder = 1/3 of Vcone
Therefore, if the cylinder's volume is 900,000, then the cone's volume is 300,000.
What percent of Durhamites like UNC?
About 34.8%
160 out of 460
(x20/x13)2
x14
x = 10
f(3) = ?
Undefined, this equation is not a function. It does not pass the vertical line test (only one input for every output)
a = ?
b = 8
c = 12
a2 + b2 = c2
a2 + 82 = 122
a2 = 80 = 144 - 64
a = sqrt(80) = 8.9
Which has the larger volume? The basketball or the water cup?
Assume the basketball is a perfect sphere and the water cup is a perfect cone.
Vsphere = pi * r3 * 4/3
Vbasketball = pi * 23 * 4/3 = 10.66pi
Vcone = pi * r2 * h * 1/3
Vcup = pi * 12 * 9 * 1/3 = 3pi
Vbasketball > Vcup
Fill in the two-way table.
What percent of basketball fans are Duke fans who live in Chapel Hill?
About 10.1%
100 out of 990
(x10y7z / x4y7z)3
x18