Domain & Range
Given the set of points:
(−3,4),(0,7),(2,5),(5,8)
Domain: -3, 0, 2, 5
Range: 4, 7, 5, 8
The arithmetic sequence is:
2,5,8,11,...
Find the 20th term of the sequence.
59
y=3x+5
Identify the slope and y-intercept.
m = 3
b = 5
Rewrite this equation in slope-intercept form.
2x+y=5
y=−2x+5
A taxi company charges a flat rate of $3 for a ride, plus $2 per mile driven. Find the cost for a 10-mile ride.
$23
Given the set of points:
(−2,6),(1,−3),(4,5),(7,0),(9,−2)
Domain: -2, 1, 4, 7, 9
Range: 6, -3, 5, 0, -2
The arithmetic sequence is:
15,10,5,0,…
Question: Find the 12th term of the sequence.
-40
y=−2x+7
Identify the slope and y-intercept.
m = -2
b = 7
Rewrite this equation in slope-intercept form.
3y−6x=9
y=2x+3
A plumber charges $50 for a house call, plus $30 for each hour of work. Find the cost for 5 hours of work.
$200
Given the set of points:
(1,3),(2,4),(3,5),(4,6),(5,7)
Domain: 1, 2, 3, 4, 5
Range: 3, 4, 5, 6, 7
The arithmetic sequence is:
7,13,19,25,…
Question: Find the 50th term.
301
y=1/2x−4
Identify the slope and y-intercept.
m=1/2
b= -4
Rewrite this equation in slope-intercept form.
4x+2y=8
y=−2x+4
A gym charges a membership fee of $100, plus $20 per month. Find the total cost after 8 months.
$260
Given the set of points:
(−5,−3),(−2,1),(0,4),(3,9),(6,12)
Domain: -5, -2, 0, 3, 6
Range: -3, 1, 4, 9, 12
The arithmetic sequence is:
−4,−1,2,5,…
What is the 30th term of the sequence?
83
Identify the parts of slope intercept form.
y= mx+ b
y = total
m = slope
x=variable
b= y-intercept
Rewrite this equation in slope-intercept form.
y−5x=−10
y=5x−10
A car rental company charges $25 per day and a one-time insurance fee of $40. Find the total cost for 7 days.
$215
Given the set of points:
(0,0),(2,3),(4,6),(6,9),(8,12)
Domain: 0, 2, 4, 6, 8
Range: 0 3, 6, 9, 12
The arithmetic sequence is:
120,105,90,75,…120, 105, 90, 75, \dots120,105,90,75,…
Find the 25th term.
-240
y=4x−9
Identify the slope and y-intercept.
m = 4
y = -9
Rewrite this equation in slope-intercept form.
6x−3y=12
y=2x−4
A phone company offers a plan with a monthly fee of $30, plus $0.10 per minute of calls. Find the total cost for 250 minutes of calls.
$55