Unit 3.4
A student has 100 pencils at the beginning of the school year. They lose 6 pencils each week. What is the initial value of this linear function?
100
A linear function is modeled in the equation Y = 24X - 2. What is the constant rate of change of this function?
24
A linear function is modeled in the equation Y = 24X - 2. If Y = 94 what is the value of X?
4
A student has 100 pencils at the beginning of the school year. They lose 6 pencils each week. How many pencils will the student have after 10 weeks? (x=weeks)
40
If the initial value is 14 and the constant rate of change is 2/3 what is the equation to model this linear function?
Y = (2/3)X + 14
A student has 100 pencils at the beginning of the school year. They lose 6 pencils each week. What is the equation to model this linear function?
Y = -6X + 100
If you have $20 and you earn $3.50 every week for chores, what is your equation to model this linear function?
Y = 3.5X + 20
What is initial value?
Y-intercept, the value of the output when the input is 0
If you have $20 and you earn $3.50 every week for chores, what is your constant rate of change?
$3.50 is the constant change each week
A linear function is modeled in the equation Y = 24X - 2. What is the initial value of this function?
-2
A student has 100 pencils at the beginning of the school year. They lose 6 pencils each week. What is the constant rate of change of this linear function?
-6
A linear function is modeled in the equation Y = 24X - 2. If X= -3 what is the value of Y?
-74
What is a linear function?
A function with a constant rate of change
What is a function?
A relation where every input has exactly one output
A student has 100 pencils at the beginning of the school year. They lose 6 pencils each week. How many weeks will go by before the student has 0 pencils? (y=pencils) Round answer to nearest week
About 17 weeks
If you have $20 and you earn $3.50 every week for chores, what is your initial value?
Initial value is where you start, $20
A student has 100 pencils at the beginning of the school year. They lose 6 pencils each week. Will the student have any pencils left after 20 weeks (x=weeks)
No, they borrow Miss Kelly's pencils everyday
What is constant rate of change?
Slope, change in Y divided by change in X