Linear Word Problems
To rent a kayak costs $25 plus $4.00 per hour you use it. Write an equation to find the total cost.
y = 4x + 25
m = 4
b = 25
x = Number of Hours
y = Total Cost
Describe the graph of x = -3
A VERTICAL line at x=-3
P(x) = -7x + 1
P(2) = -13
What slope is parallel to the line below?
y = 2x - 3
A slope of 2!
If a graph extends forever to the left and right, state the domain.
All real numbers
Jenny ordered 4 tacos and 3 salads for lunch. She spent a total of $24. Write an equation to find the costs of each taco and salad.
4x + 3y = 24
x = tacos
y = salads
Describe the graph of y =1
A HORIZONTAL line at y=1
Evaluate the function for P(x) = 22
P(x) = -7x + 1
x = -3
What slope is perpendicular to the line below?
y = 1/3x - 5
A slope of -3!
If a graph starts at -3 and extends forever up, state the range.
y >= -3
gabe si tracking the money in his account. He is spending 2 dollars per day on snacks and on day 3, he has $-5 in his account. Write an equation to model the money in his account.
y = -2x + 1
m = -2
(3 , -5)
x = Number of Days
y = Total $ in Account
Describe the graph of x = 0
A VERTICAL line at x=0 (the y-axis)
Evaluate the function for K(-2)
K(x) = x^2 - 3x + 5
K(-2) = 15
Write the equation of a line that is parallel to y = 3x + 2 and passes through the point (2, -4).
y = 3x - 10
If a graph contains points at (-2, 1), (-1, 2), (0, 0), (1, 1), and (2, 2), state the domain and range.
Domain: {-2, -1, 0, 1, 2}
Range: {0, 1, 2}
Jameson is building fences to save money for a trip to Cancun. After 4 days, he has built 4 miles of fence and then after 12 days, he had built 6 miles of fence. Write an equation to model how much time it takes Jameson to build fences.
(4, 4) and (12, 6)
m = 1/4
y = 1/4x + 3
x = Number of Days
y = Distance of Fence Built
Describe the graph of y = 0
A HORIZTONAL line at y=0 (the x-axis)
Evaluate the function for h(x) = -25
h(x) = -2x - 5
x = 10
Write the equation of a line that is perpendicular to y = 1/8x + 2 and passes through the point (1, -5).
y = -8x + 3
If a graph extends forever up and down but only between -4 and 6 side to side, state the domain and range.
Domain: -4 <= x <= 6
Range: All Real Numbers
Randy owns a computer store. In 1990, he sold 150 computers and in 2000, he sold 900 computers. Write a linear equation to represent the computers sold each year.
(1990, 150) and (2000, 900)
m = 75
b = -149,100
y = 75x - 149,100
What is the equation of a line that is vertical and crosses the x-axis at 2?
x = 2
Evaluate the function for g(x) = 10
g(x) = (x/4) + 3
x = 28
Write the equation of a line parallel to y - 3 = -2/5x and passes through the point (2, -1).
y = -2/5x - 1/5
If a graph begins at 6 to the right and extends left forever and exists in between -3 and 3 up and down, state the domain and range.
Domain: x <= 6
Range: -3 <= y <= 3