Arithmetic Sequences
What is the arithmetic sequence formula?
an=a1=(n-1)d
What makes a relation a function?
What is the test called that we use to determine if a graph is a function or not?
x can not repeat!
Vertical Line Test
What is the slope of a horizontal line?
Zero
What is slope intercept form?
y=mx+b
Ismael started the day with an irrigation pipe of 120 feet long. He used the equation L=15s+120 to determine the total length of the pipe as new sections of pipe, s. were welded on to the end. What is the slope of the line? What does the slope represent in the context of the problem?
m= 15
Each section of pipe is 15 feet long.
Find the next three terms of the following sequence:
-17, -21, -25, -29, . . .
-33, -37, -41
Find the x intercept: 8x- 4y=16
x=2
What is the slope of a vertical line?
Undefined
Write the equation in slope intercept form: slope=0, y intercept =-5
Is this line vertical or horizontal?
y=-5
Horizontal Line
Ricardo is draining his pool for the winter. There are 240 gallons in the pool and it is decreasing at a rate of 20 gallons per hours. Write an equation to represent the relationship between the amount of water in the pool, y, and the number of hours the pool has been draining, x.
y=240-20x
Write an equation for the nth term of the following arithmetic sequence:
-1, 3, 7, 11, . . .
an=4n-5
The function f has a domain of {1, 2, 4, 8} and a range of {2, 4, 6}. Could f be represented by {(1,2), (2,4), (4,6), (8,2)}?
Yes because no x values repeat and all of the domain values are in the x coordinates and all of the range values are in the y coordinates.
Find the slope of (4,-2) and(-1,2)
m= -4/5
Write the equation in slope intercept form: slope=4 and (2,5) is on the line
y=4x-3
Steven is learning to scuba dive. The equation D=20L+15 represents the depth he can dive in feet, D, based on the number of lessons he has had, L. How deep can Steven dive after he takes 13 lessons?
275 feet
In a sequence, the first term is 9 and the common difference is -3. The sixth term of the sequence is
-6
Given the function: {(0,1), (2,5), (-1,3), (4,5)}
If included in the set of ordered pairs, (3,1) or (-1,3) would result in a relation no longer being a function? Explain.
(-1,3) because then x repeats resulting in the relation no longer being a function.
Find the slope of (20,3000) and (60,2000)
m= -25
Given the set of ordered pairs: {(4,5), (10,2), (14,0), (18,-2)} write the equation in slope intercept form.
y=(-1/2)x+7
David works at the T-shirt shack selling tees. The equation y=15x-520 represents the profit that the T-shirt Shack makes for each t-shirt sold, where y is the total profit and x is the number of t-shirts sold. How many t-shirts does the T-shrit Shack need to sell to make a profit of $140?
44 t-shirts
In the auditorium the number of seats per row increases at a constant rate. Judah counts 42 seats in row 3 and 48 is row 6. How many seats are there in row 25?
86 seats
Find the x and y intercepts of 2x + 4y=8.
x=4 and y=2
Given the function f(x)=-3x+36
Find the rate of change from x=8 to x=20
m=-3
Write the equation in slope intercept form and graph: 3x+2y=8
y=-3/2x+4 See graph
Toby has 10 comic books in his collection. He plans to collect 3 additional comic books each year. Write an equation to represent the total number of comic books B he will collect in any number of years y. How many years will it take Toby to obtain 70 comic books?
B=10+3y
In 20 years, Toby will have 70 comic books.