Inequalities
Tell me how
y=kx
y=mx+b
Write Equations
100
Solve the inequality:
12x − 7 > 53
x > 5
100
How do you find k?
Divide y by x
100
The graph shows the growth of a tree over time. Is the data represented proportional?
No, the y-intercept does not start a 0.
100
Here is an equation y= 3x - 8. Identify the slope and y-intercept.
The slope is 3 and y-intercept is -8.
100
What does 'b" represent in y=mx+b ?
y-intercept
200
What is the solution set to this inequality:
5x-14>1
x>3
200
What equation do you use for proportional relationships?
y=kx
200
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x ?
k=16
200
Here is an equation y=3x. This equation represents a proportional relationship. The slope is ____ and y-intercept is ______.
The slope is 3 and y-intercept is 0.
200
What does 'm" represent in y=mx+b ?
Slope
300
Which inequality is true when x = 4?
A. 3 - 2x < -5
B. 1 - 4x > -14
C. -5 - 3x < 10
D. -4 + 5x > 18
C. -5 - 3x < 10
300
What equation do you use for non-proportional relationships?
y=mx+b
300
Does the table represent a proportional relationship?
Yes, Proportional
300
A cable company charges $70 per month for cable service to existing customers. For new customers, there is an additional one-time $100 service fee (starting point). Make a table to match this situation.
(0, 100)
(1, 170)
(2, 240)
300
Bowling costs $4 for shoe rental plus $5 for every game. What equation shows how much it costs to go bowling for x games?
y= 5x+4
400
What is the solution set for the inequality:
4 − 5g > 39
g < -7
400
How do you find y-intercept?
Where the line crosses the y-axis
OR
where x=0
400
What is the constant of proportionality?
3
400
Jada's grandparents started a savings account for her in 2010. The table shows the amount in the account each year. The slope is _______.
The slope is 75?
400
A dog walker earns $10 plus $3 per dog. What equation represents this model?
y= 3x+10
500
The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the truck. Write an inequality that represents all possible values of x, the number of these boxes that can be loaded into the moving truck.
50x + 400 < 1600
500
How do you find slope?
rise over run
OR
change in y divided by change in x
500
What is the constant of proportionality?
9
500
Write the equation to match the graph.
y=5x+40
500
A yoga class in a fitness center charges a $200 registration fee plus $12 per lesson. Write an equation to determine the amount of money a person will spend (y) for any number of lessons (x).
y=12x+200