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Representing Relationships
Relations
Functions
Linear Functions
Construct Functions
100
A fitness instructor exercises about 12 hours per week. Write an equation to find the total number of hours (h) the instructor exercises in any number of weeks (w).
h = 12w
100
What is the ordered pair of a point that goes to the left of the origin 5 points and up 9?
(-5,9)
100
f(1) if f(x) = x + 3
4
100
What is the slope and y-intercept of y = 5x - 9
Slope = 5 y-intercept = -9
100

Ashley charges $15.35 per hour of babysitting. Lisa charges $15.25 per hour of babysitting. Compare the functions by comparing their rates of change.

15.25 < 15.35, Lisa

200
A real estate company sells 10 houses per month. Write an equation to find the total number of houses (h) sold in any number of months (m).
h = 10m
200
State the domain and range of the relation: {(5,7), (3,2), (-6,3), (-8,-9), (7,0)}
Domain: {-8, -6, 3, 5, 7} Range: {-9, 0, 2, 3, 7}
200
f(4) if f(x) = 5x - 4
16
200
Find the slope and y-intercept of y = -10x + 3
Slope = -10 y-intercept = 3
200

In order to enter the state fair, there is an admission cost. Each game is $5. Ryan went to the fair and played 3 games and spent a total of 30 dollars. What is the initial value and rate of change?

t = 5g + a 30 = 5(3) + a 30 = 15 + a 15 = a

300
On the first month, a family spent $16 at the movies. After two months, a family spent a total of $32 at the movies. After three months, a family spent a total of $48 at the movies. Write an equation to find the total amount of money spent (c) on movies in any number of months (m).
c = 16m
300
Draw out a graph and plot the point (-2,-4).
| | ____________|____________ | | | X |
300
f(-4) if f(x) = -2x + 900
908
300
Find f(-1), f(5), f(10), if f(x) = 5x + 3
f(-1) = -2 f(5) = 28 f(10) = 53
300

Tom and Tim each spent an afternoon biking. The distance Tom traveled is represented by y = 12x and Tim's is represented by y = 9x. Compare their rates of change and pick the best option.

12 > 9, Tom

400
A hat company sells 46 hats each month. Write an equation to find the number of hats (h) sold for any number of months (m). Also, determine how many hats were sold after 4 months.
h = 46m h = 46(4) = 184 hats
400
Name the ordered pair of the point that moves to the right of the origin 6 points and down 10.
(6, -10)
400
Find f(-2), f(0), and f(3) if f(x) = x - 9
f(-2) = -11 f(0) = -9 f(3) = -6
400
Find f(-4), f(-3), and f(2) if f(x) = 2x - 1
f(-4) = -9 f(-3) = -7 f(2) = 3
400
Total cost of renting a vacation home includes a deposit and a daily rental fee of $100. A family rents the home for 3 days and pays $550. Find the initial value and rate of change.
t = 100d + f 550 = 100(3) + f 550 = 300 + f 250 = f
500
Our class does 24 worksheets each month. Write an equation to find the number of worksheets (w) the class does in any number of months (m). Also, how many worksheets will the class have done in 1 year?
w = 24m w = 24(12) = 288 worksheets
500
State the domain and range in order from LEAST TO GREATEST: {(9,3), (-8,4), (0,-5), (7,-2), (-2,1), (-6,-3)}
Domain: {-8, -6, -2, 0, 7, 9} Range: {-5, -3, -2, 1, 3, 4}
500
Find f(9), f(2), and f(-4) if f(x) = 2 - 3x
f(9) = -25 f(2) = -4 f(-4) = 14
500
Find f(-5), f(-2), f(8) if f(x) = 6x - 7
f(-5) = -37 f(-2) = -19 f(8) = 41
500
Ben spends $1.00 for 2 songs and .59 for 1 game. Compare the functions and pick the better option.
.50 for 1 song, .59 for 1 game. .50 < .59, Songs.