Writing Functions (3-3)
Apples cost $0.99 per pound. What is the independent variable?
apples
A company charges $10 per hour to rent a jackhammer. What is the dependent variable?
cost
A lawyer's fee is $200 per hour for her services. What is the dependent variable?
cost
A small-size bottle of water costs $1.99 and a large-size bottle water costs $3.49. What is the dependent variable?
cost
An amusement park charges a $6.00 parking fee plus $29.99 per person. What is the dependent variable?
cost
Apples cost $0.99 per pound. What is the dependent variable?
cost
Steven buys lettuce that costs $1.69 per pound. What is the dependent variable?
cost
The admission fee to a local carnival is $8. Each ride costs $1.50. What is the dependent variable?
cost
The cost of shipping a package is based on its weight. What is the dependent variable?
cost
An employee receives 2 vacation days for every month worked. What is the dependent variable?
days
In the winter, more electricity is used when the temperature goes down, and less is used when the temperature rises. What is the dependent variable?
electricity
Apples cost $0.99 per pound. What is the equation for this situation?
f(x) = 0.99x
Steven buys lettuce that costs $1.69 per pound. What is the equation for this situation?
f(x) = 1.69x
A small-size bottle of water costs $1.99 and a large-size bottle water costs $3.49. What is the equation representing the cost of one or more small-sized bottles of water?
f(x) = 1.99x
A company charges $10 per hour to rent a jackhammer. What is the equation for this situation?
f(x) = 10x
A lawyer's fee is $200 per hour for her services. What is the equation for this situation?
f(x) = 200x
A small-size bottle of water costs $1.99 and a large-size bottle water costs $3.49. What is the equation representing the cost of one or more large-sized bottles of water?
f(x) = 3.49x
An amusement park charges a $6.00 parking fee plus $29.99 per person. What is the equation for this situation?
f(x) = 6 + 29.99x
The admission fee to a local carnival is $8. Each ride costs $1.50. What is the equation for this situation?
f(x) = 8 + 1.5x
A lawyer's fee is $200 per hour for her services. What is the independent variable?
hours
An employee receives 2 vacation days for every month worked. What is the independent variable?
months
An amusement park charges a $6.00 parking fee plus $29.99 per person. What is the independent variable?
people
Steven buys lettuce that costs $1.69 per pound. What is the independent variable?
pounds
For f(x) = 10+2.3x, find f(x) when x=2 and when x=-5.
14.6; -1.5
For f(x) = 2x - 1, find f(x) when x=1 and when x=-3.
1; -7
The admission fee to a local carnival is $8. Each ride costs $1.50. What is the independent variable?
rides
A small-size bottle of water costs $1.99 and a large-size bottle water costs $3.49. What is the independent variable?
size
The faster Ron walks, the quicker he gets home. What is the independent variable?
speed
In the winter, more electricity is used when the temperature goes down, and less is used when the temperature rises. What is the independent variable?
temperature
A company charges $10 per hour to rent a jackhammer. What is the independent variable?
time
The faster Ron walks, the quicker he gets home. What is the dependent variable?
time
The cost of shipping a package is based on its weight. What is the independent variable?
weight
Given {(1,3), (2,6), (3,9), (4,12)}, determine a relationship between the x- and y-values.
y = 3x
Given {(1,4), (2,7), (3,10), (4,13)}, determine a relationship between the x- and y-values.
y = 3x + 1
Given {(1,-1), (2,0), (3,1), (4,2)}, determine a relationship between the x- and y-values.
y = x - 2
Given {(1,-2), (2,-1), (3,0), (4,1)}, determine a relationship between the x- and y-values.
y = x - 3
For f(x) = (1/3)x-10, find f(x) when x=27 and when x=-15.
-1; -15
For f(x) = (1/4)x + 1, find f(x) when x=-24 and when x=400.
-5; 101
For f(x) = 7x+2, find f(x) when x=0 and when x=1.
2; 9
For f(x) = 5x, find f(x) when x=6 and when x=7.5.
30; 37.5
For f(x) = (1/2)x-3, find f(x) when x=12 and when x=-8.
3; -7
For f(x) = 4x-9, find f(x) when x=3 and when x=5.
3; 11