Linear or Nonlinear
X 1 2 3 4
--------------------
Y 5 10 15 20
Is this linear or nonlinear?
Linear
{(5,3), (-4,1), (2,-5), (3,-4)}
State the range.
{3, 1, -5,-4}
f(2) if f(x)=x-4
-2
Number of months Money saved($)
--------------------------------------------------
3 110
4 130
5 150
6 170
Find and interpret the rate of change and the initial value.
The rate of change is $20 each month. The initial value is $50.
A zebra's main predator is a lion. Lions can run at a speed of 53 feet per second over short distances. The table below shows the speed of a zebra. Compare their speeds.
Time 1 2 4 8
---------------------------------------
Distance 59 118 236 472
59>53 so the zebra is faster than the lion.
Tickets to the football game cost $10 per person. Are the tickets a linear or nonlinear function of tickets sold?
Linear
{(2,6), (-4,-8), (-3,6), (0,4)}
State the domain.
{2,-4,-3,0}
f(-3) if f(x)=2x+1
-5
Joan has some photos in her photo album. Each week she plans to add 12 photos. Joan had 120 photos after 8 weeks. Assume the relationship is linear. Find and interpret the rate of change and initial value.
The rate of change is 12 photos. The initial value is 24 photos.
Lorena's mother needs to rent a truck to move some furniture. The cost to rent a truck from two different companies in the tables. Which company should she use to rent the truck for 40 miles?
cross town movers
miles 10 30
--------------------------------
cost ($) 35 45
Ron's Rentals
miles 10 20 30
-------------------------------
cost($) 25 50 75
Cross Town Movers would cost less for 40 miles.
X 2 4 6 8
-------------------
Y 4 12 21 35
Is this a linear or nonlinear function?
Nonlinear function
{(2,7), (3,8), (4,-8), (0,6)}
State the domain.
{2,3,4,0}
f(11) if f(x)= 1/2x+5
10.5
Number of messages 5 6 7
------------------------------------------------------
Cost ($) 10.50 10.60 10.70
Find and interpret the rate of change and the initial value.
$.1cost/message initial value is $10
Angela and Benjamin each have a monthly cell phone bill. Angela's monthly cell phone bill is represented by the function y=015x+49, where x represents the minutes and y represents the cost. Benjamin's monthly cost is shown in the table. Compare the y-intercepts and rates of change. What will be the monthly cost for Angela and Benjamin for 200 minutes?
Minutes 0 120 200
---------------------------------
Cost ($) 60 72 80
Angela's cell phone bill will be $79 and Benjamin's cell phone bill will be $80.
X 1 4 8 10
--------------------
Y 64 16 8 6.4
Is this a linear or non linear function?
Nonlinear Function
{(-4,3), (2,1), (0,3), (-3,-2)
State the range.
{3,1,-2}
f(6) if f(x)=x-7
-1
Pairs 2 4 6 8
----------------------------------------
Points 60 90 120 150
Find and interpret the rate of change and the initial value.
The rate of change is 15 so the number of points earned per pair of shoes is 15.
The function m=140h, where m is the miles travelers in h hours, represents the distance traveled by the first Japanese high speed train operating today in China. If you ride each train for 5 hours, how far will you travel on each?
Train Rate in China
hours 1 2 3 4 5
-------------------------------------------------
miles 217 434 651 868 1085
So, you will travel 1085 miles in 5 hours on the Chinese train.
X 1 4 7 10
--------------------
Y 1 16 49 51
Is this a linear or nonlinear function?
Nonlinear Function
{(7,9), (4,6), (0,5), (6,1)
State the domain and range.
Domain: {7,4,0,6} Range: {9,6,5,1}
f(9) if f(x)=x+5
14
Months 1 2 3 4 5 6
-------------------------------------
Cost ($) 15 18 21 24 27 30
Find and interpret the rate of change and the initial value.
The rate of change is $3/month and the initial value is $12.
The number of new movies a store receives can be represented by the function m=7w+2, where m represents the number of movies and w represents the number of weeks. The number of games the same store receives is shown in the table. How many new movies and games with the store have in 6 weeks.
week 1 2 3
-----------------------------------
movies 3 6 9
m=44 movies and games