Identifying Linear Functions
What is a function whose graph forms a straight line called?
linear function
What is the x-coordinate of the point where the graph intersects the x axis called?
What is the x intercept
In the standard (x,y) coordinate plane, the graph of an equation in the form y=mx+b with m<0 is a(n) ________ function
A)Increasing linear
B)Decreasing linear
C)Increasing quadratic
D)Decreasing quadratic
E)Decreasing exponential
Decreasing linear
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
y=5x+20 y=total cost x=# of months
y=12x+3 Evaluate for x=3
y=39
What is the slope intercept form of a linear equation?
y=mx+b
Name a single point that lies on the function f(x)=4x-5 and has an x value of 0
(0,-5)
What is the slope of the equation y=1/3x+4
m=1/3
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
y=1.5x+4 x=hours y=total cost
What value of x make 2x+5=13 true?
x=4
James started off with 3 jelly beans in his basket and added 5 for every egg he found in the egg hunt. What is the equation to represent this situation, and define your variables
y=5x+3 x=# of eggs found y=# of jelly beans
The graph of the equation y=2x+3 is plotted on the standard (x,y) coordinate plane. How would you explain the transformation of this graph into the graph y=2x+9
The graph moved up 6 units
Find the slope of (4,-2) and(-1,2)
What is -4/5
Cameron is designing a calendar as a fund-raising project for math class. The cost of printing is $500, plus $2.50 per calendar. Write an equation in slope-intercept form that models the total cost of printing the calendars.
y=2.5x+500 x= # of calendars y=total cost
The original price of an item, x, is discounted by 20%. A coupon for $5.00 off is then applied to the discounted price. What is the equation for the final price of the item?
y=.8x-5
Tell whether the set of ordered pairs satisfies a linear function. If so, what is the slope? (2,4), (5,3) (8,2), (11,1)
linear m= -1/3
For the equation 2x+y=8, find the y-intercept
(0,8)
The coordinates below model a constant decrease in annual Beanie Baby sales. The x value is the year after launch and the y value is sales in thousands of dollars. Which of the following values is closest to the amount, in dollars, of the decrease per year? (0,89) (1,82) (2,75) (3,68)
It decreases by $7,000 per year.
The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2010 and then would increase by about 0.22 million per year until 2015. Wr.ite an equation for the population (in millions)
y=.22x+17.4 x=number of years after 2010 y=population in millions
HOFNOD is going on a fishing trip, and needs to rent a boat. "Float Your Boat" Rental charges $6 per hour per boat. "Fishing Etc." Rentals charges $2 per boat and $3 per hour. If they are going to use 1 boat for 3 hours, which is the better choice?
Float Your Boat
Abby is tracking the progress of her plant's growth. Today the plant is 5 cm high and is growing 1.5 cm per day. What is the linear model? How tall will the plant be in 20 days. Define your variables!
y=1.5x+5 y=plant height x=days after first recorded height In 20 days it'll be 35 cm tall
For the equation, 3x+2y=12, find the y-intercept
(0,6)
If y=2x+2, what is x when y = 5?
3/2 or 1.5
A salesman earns a salary of $30000 and a commission of 25% of his total sales for the year. Write an equation for his yearly income.
y=.25x+30000 or y=1/4x+30000 y=yearly income x=total sales
A store pays $400 for the licensing to sell Razorback shirts, as well as $3 for each shirt they get in inventory.The store then sells the shirts for $15. How many shirts must they sell to make a profit?
34 shirts