y = mx +b
The number of students enrolled at a university increases each year. The total number of students after
t years can be modeled by the function
S=500t+8,000
What is the initial value, in number of students, at year 0?
8,000
What is the slope of the line
y = 2x + 5
m = 2
What is the slope of the given equation
y - 2 = 3( x - 1)
m = 3
What is the y intercept of the function
2x + 5y = 10
(0,2)
Lena bought a pack of markers for $8. She used a $20 bill to pay.
Which equation can be used to find how much change c she received?
8+c=20
Maria is a dog groomer and earns a base monthly salary plus a commission for each grooming appointment she completes. Her total monthly earnings can be modeled by the equation below, where E represents her total earnings, in dollars, and
a represents the number of appointments she completes.
E=50a+1,200
Based on the model, what would be Maria’s salary, in dollars, for a month in which she completed no appointments?
1,200
A linear function passes through the points (3,7) and (6,16)
What is the rate of change of the linear function? (simplest form)
3
What is a point on the following line
y - 2 = 3 ( x - 1)
( 1, 2)
What is the x - intercept of the function
x + 3y = 10
(10, 0)
A printer can print pages at a constant rate of 8 pages per minute. If p pages are printed after x minutes, write the equation that should be graphed to represent this relationship?
p = 8x
A gym charges a membership fee as well as a fee for each personal training session attended.
The equation
y=25x+40
can be used to determine the total amount of money y a person will spend at the gym, where x represents the number of personal training sessions attended.
What do the numbers 25 and 40 represent in terms of the money spent at the gym?
25 per training session
40 membership fee
The temperature of a cup of coffee decreases over time and can be modeled using the linear equation
T=−2x+90
where x represents time, in minutes, and T represents the temperature, in degrees Celsius.
Fill in the blanks
The slope represents ________.
The y-intercept represents ________.
1. The rate at which the coffee cools per minute
2. The starting temperature of the coffee
List a point and the slope of a line with an equation of
y + 2 = -3 ( x - 4)
(4, -2)
m = -3
How would you describe the slope of the graph 3x + 5y = 30
(positive, negative, zero, or undefined)
negative
A movie theater charges $10 for a ticket and $4 for each snack.
If Jordan spent a total of T, how many snacks s did he buy?
T = 4s + 10
A moving company charges a flat fee of $25 plus $0.80 per box moved.
An equation is written as y =mx+b
where y is the total cost for moving x boxes.
What is the value of m in this context?
25
The equation of a linear function that passes through the point
(-2, 1) and has a slope of 4 can be written in point-slope form as
y - 1 = 4 ( x + 2)
Write an equation that can be used to BEST identify the y-intercept of the linear function?
y = 4x + 9
Write the equation of a line that goes through the point (10, 14) and a slope of 2.
y - 14 = 2(x -10)
What is the zero of the function
4x + 3y = 24
(6,0)
A theme park charges $1 for every ride ticket purchased, plus an admission fee of $12.
If r represents the number of ride tickets and c represents the total cost,
which equation represents the relationship between r and c?
c = r + 12
The table shows an additive relationship between x and y. Write the equation.
x | y
2 | 10
4 | 15
6 | 20
y = 5/2 x + 5
what is the slope and y intercept of the line
2x + 3y = 9
m = -2/3
b = 3
y - 2 = 3(x + 4)
y = 3x + 14
Write the equation of a line in slope intercept form
3x - 2y = 10
y = 2/3 x - 5
Diego bought 4 notebooks (n) and 5 pens (p) at a supply store.
Each notebook cost the same amount, and each pen cost the same amount. He spent a total of $65.Write an equation to represent this situation.
4n + 5p = 65