Vocabulary
Rate of Change
Scenarios
Intercepts
Linear or Nonlinear?
100
What do we call the order in which we simplify an expression?
What is order of operations(PEMDAS)?
100
What is the rate of change (slope) between (2,7) and (1,3)?
What is 4?
100
Anthony is buying carrots and celery at the grocery store. The carrots cost $1.50 per pound and the celery costs $1.25 per pound. He has $10 to spend.
Write an equation in standard form to represent how he can split up his purchases.
1.5x+1.25y=10
100
The y-intercept of y=5x+6
(0,6)
100
The equation y=2(x-4)
Linear: y = 2x - 8
200
This is the rise over the run.
What is the slope or rate of change?
200
What is the rate of change (slope) between (2,7) and (0,4)?
What is 3/2?
200
T-Mobile charges $100 a month for a family plan for four people, but that doesn't include the cost of the phone. Tiana buys a phone for $600 and splits the cost of the phone plan with her family. Write a function to show how much money she spends on her phone and plan after m months.
f(m)=25m+600
200
On a graph where can you find the x-intercept?
On the x-axis. Where the line crosses the x-axis.
200
This graph...
Nonlinear- not a constant rate of change.
300
What is the input (x or y)?
What is the output (x or y)?
What is input x, output y?
300
What is the rate of change (slope)?
What is 15?
300
The function y = 3.28x converts length from x meters to y feet. Describe the independent and dependent variables & explain
x = is the independent variable, in this case meters. y is the dependent variable, in this case feet. In this equation, the conversion is taking meters to feet, so the number of meters determines the number of feet.
300
The x-intercept of 2x-y=6
(3,0)
300
the relationship between the value of a motorcycle and the amount of time you owned the motorcycle
non-linear
400
This is the point where the graph crosses the y-axis.
What is the y-intercept or initial value?
400
What is the rate of change (slope) in the table?
What is 3?
400
The function for Alphonso's puzzle was: y = 5x + 150. Find and interpret the x-intercept.
(-30, 0). This would mean that 30 weeks ago, Alphonso had 0 dollars. It does not make sense in the context of the problem as his grandfather gave him $150 at time 0, so anything prior to that would not make sense.
400
The x-intercept of 2x=5y-10
(-5,0)
400
This table...
Nonlinear
500
Define function.
What is a rule that defines a dependent relationship that pairs exactly one output for each input?
500
What is the rate of change (slope) in the graph?
What is 2?
500
The function m = 50 − 3s represents the amount of money m (in dollars) you have after buying s sodas. Is the domain discrete or continuous? Explain
The domain is discrete because you can only buy whole numbers of sodas. (you can't buy 1.5 sods and have fractional money left over).
500
The y-intercept of 2x-5y=-10
(0,2)
500
3(x-4) + y = 2y - 3 - 1(y + x)
linear: x = 9/4