Explicit to Function
Table Talk
Real-World Modeling
Graphs & Intercepts
Random Math
100
Rewrite each explicit formula in function form.
Convert
an= 36 + 9(n-1)
an =27+9n
100
Is this linear? (-2, 5), (-1, 8), (0, 11), (1, 15)
Is Linear
100
Cost to print 5 posters if the rate is $5 each
$25
100
Identify the y-intercept of
an = 8 - 4(n-1)
12
100
First celebrated in San Francisco in 1988, this mathematical holiday is celebrated annually on March 14th
Pi Day
200
Rewrite each explicit formula in function form.
Convert
an = 8 - 4(n-1)
an=-4n+12
200
Is this linear? (-2, 6), (-1, -4), (0, 5), (3, 8)
No is not linear
200
Rate of change for a tank dropping 50 gallons every 1 second
$-50$ gallons/second
200
Find the x-intercept for a line crossing at (4, 0) with slope of 2
2
200
From 0 to 1000, the only number that has the letter? what is it.
“a” in it is “one thousand”
300
Find f(10) for
y = 36 + 9(x-1)
117
300
Find the function for: (-1, -10), (-2, -8), (0, -12), (1, -14)
y =-2x-12
300
Function for a tank starting at 1000g and losing 50g/sec
f(x) = 1000 - 50x
300
Slope of a line through (0, 2) and (3, 4)
m = 2/3 (Rise of 2, run of 3)
300
Honeybees use this geometric shape when constructing their hives as a way of maximizing space in a mathematically efficient way.
Hexagon
400
Find f(5) for
y = 15 - 1/2(x-1)
13
400
Is this linear or nonlinear. Explain why?
No beacues the y chnage is not contast rate
400
How many posters can you buy with $1,200 if each is $5?
240 posters
400
Write the equation for a line with y-int 8 and x-int 4
y = -2x + 8
400
In math, the ∑ symbol, known as sigma, is used to represent _________________ .
Summation
500
What is the "start value" f(0) of
y = 8 -4 (x-1)
f(0) =3
500
Is this linear or nonlinear. Explain why?
yes the slope is the same.
500
The tank starts at 1000 gallons (x=0) and follows the drainage pattern: 1 sec = 950g,2 sec = 900$g, 3 sec = 850g
20 seconds (Solving 0 = -50x + 1000)
500
Based on the table where 5 posters cost $25 and 10 posters cost $50. If you started with $0 in savings, on which day would your total savings ($y$) exactly equal the cost of printing 40 posters?
At $20 per day, it would take 10 days to save $200 (200 \20 = 10).
500
This number equals to the product of the first three prime numbers.
2 x 3 x 5 = 30