Problema Solution
Identify the independent and dependent variable and write a rule in function for the situation:
Carson charges $7 per hour for yard work
Answer provided by our tutors
Let x = number of hours Carson works.
Let y = amount of money that Carson makes.
Then y = 7x
x is the independent variable, and y is the dependent variable. The money that Carson makes depends on the hours that he works.
2. Let x = amount that Ed donates, and y = amount that Kay donates, then
y = 2x
Again x is the independent variable and y is the dependent variable.
The amount that Kay donates depends on the amount that Ed donates.
3. For f(x) = 5x + 1, find f(x) when x =2 and when x = 3
For x = 2, you just need to replace all the x's with 2's.
f(2) = 5(2) + 1 = 10+1 = 11
You try f(3).
4. For g(x)= -4x, find g(x) when x = -6 and when x = 2
f(-6) = -4(-6) = 24
You try g(2).
5. For h(x) = x - 3 find h(x) when x = 3 and when x = 1.
h(3) = 3-3 = 0
You try h(1)