Rewrite Equations
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Slope and y-int
Word Problems
100
3x-2y=8
y=3/2 x -4
100
What is each slope and which one is steeper?
Equation m=1
Graph m=3
100
If a taxi charges $3 per mile plus a $20 initial fee. What is the slope and y-intercept in context.
y=3x+20
Slope $3 per mile
Intercept $20 starting charge
100
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.
What is y = 0.2x+30
200
y-2=-4(x-1)
y=-4x+6
200
What is each y-intercept and which one is smaller?
Equation b=-1
Graph b=1
200
A company charges a $50 service fee plus $20 per hour of service. What is the slope and y-intercept in context.
y=20x+50
Slope $20 per hour
Intercept $50 starting charge
200
An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that.
b) What would the slope intercept equations look like?
b) y=150x+250
300
5x-y=15
y=5x-15
300
Which function has the Steeper slope, Which function has the smaller y-intercept.
Equation: m=-3, b=-1
y-intercept: m=2, b=-2
300
A teacher gives out 3 pencils a class period. If a teachers has 120 pencils at the start of the School year, What is the slope and y-intercept in context.
y=120-3x
Slope -3 pencils per class
Intercept started at 120 pencils
300
Several times a week, Chuck goes to the gym to run and swim. When running, he burns 35 calories per minute, and when he swims he burns 30 calories per minute. He found a way to burn 730 calories.
35x+30y=730
400
y+1=- 2/3 (x-3)
y=- 2/3 x+1
400
Which function has the Steeper slope, Which function has the Larger y-intercept.
Function A: m=3/4, b=5
Function B: m=3/2, b=8
400
Suppose that the water level of a lake is 35 feet and that it is receding at a rate of 1.5 feet per day, what is the slope and y-intercept in context.
y=35-1.5x
Slope: -1.5 feet of water per day
Intercept: lake started at 35 feet
400
You are at school, 12 miles away from home. You start walking home with your friends at a speed of 3 miles per hour towards your home.
a. Write an equation that represents your distance from home (y) after (x) hours.
a. y = -3x + 12
500
x-4y=-12
y=1/4 x +3
500
Which function has the Steeper slope, Which function has the Larger y-intercept.
y=6x+2
Equation: m=6, b=2
Table: m=1, b=8
500
An attorney charges a fixed fee on $2500 for an initial meeting and $150 per hour for all hours worked after that, write the equation and what is the slope and y-intercept in context.
y=150x+2500
Slope: $150 per hour
y-intercept: payed $2500 at the start
500
in the Flea Circus, there are either spiders (with 8 legs) or bugs (with 6 legs). Mr. S wants to provide every performer with tiny shoes for the ends of their many legs. If this requires a total of 130 shoes, write an equation for this.
8x+6y=130