WORD PROBLEMS
A rental car costs $30 per day plus $0.20 per mile driven. Write the equation to find the total cost, y, for x miles driven in a single day.
y= 0.20x + 30
Graph the following: y= 2x + 1
Slope: 2
Y-Intercept: 1
Find the equation for this table:
X: 0, 1, 2
Y: 2, 4, 6
y= 2x + 2
Graph 1
y = 2x + 3
What is the slope of this graph?
y= 7x - 2
An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that.
a) Write the equation to find the total cost, y, of the attorney's time, x.
b) What does the value of b represent?
a) y= 150x + 250
b) The fixed fee or initial cost
Graph the following: y= -x + 4
Slope: -1
Y-Intercept: 4
Find the equation for this table:
X: 0, 2, 4
Y: 5, 1, -3
y= -2x + 5
Graph 2
y= -x - 4
What is the y-intercept of this table?
x: -2, -1, 1, 2
y: -7, -4, 2, 5
b= -1
A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.
a) What linear equation represents this situation?
b) How long will it take to get to 95 gallons in the tank?
a) y= 8x + 55
b) 5 minutes
Graph the following: y= 1/2x - 3. Identify the y-intercept and one other point.
Slope: 1/2
Y-Intercept: -3
Find the equation for this table:
X: -1, 1, 3
Y: 3, 1, -1
y= -x + 2
Graph 3
y= 1/2x - 2
Write an equation with slope -4 and y-intercept 6.
y= -4x + 6
A video streaming app charges a $9 membership fee and $1.50 for each video stream.
a) Write a linear equation in slope-intercept form to model this scenario.
b) How much would it cost to stream 12 videos?
a) y= 1.5x + 9
b) $27
Graph the following: y= -3/4x + 2. Identify the y-intercept and one other point.
Slope: -3/4
Y-Intercept: 2
Find the equation for this table:
X: 2, 4, 6
Y: 7, 10, 13
y= 3/2x + 4
Graph 4
y= -3/5x + 4
Find the slope between the points (-1, 2) and (3, -6).
m = -2
An icecream machine starts with -21 gallons of mixer (it is below the sensor level) and it fills at a rate of three quarters of a gallon per minute.
a. Write an equation that represents the amount of mixer (y) after (x) minutes.
b. How long until the mixer is level with the sensor?
a. y= 3/4x - 21
b. 28 minutes
Graph the following: 2y = 3x - 8
New Equation: y= 3/2x - 4
Slope: 3/2
Y-Intercept: -4
Find the equation for this table:
X: -2, 2, 6
Y: 1/2, 5/2, 9/2
y= 1/2x + 1.5
Graph 5
y= 4/3x - 1
A line passes through (2, -3) and has a slope of 5/2. Write the equation in slope-intercept form.
y= 5/2x - 8