What is the constant rate of change?
Number of costumes (x): 2, 4, 6, 8,
Fabric (y): 7, 14, 21, 28
What is 3.5 yds. per costume
100
point-slope formula
(y-y1)= m (x-x1)
100
Slope = 4,
y-intercept = 1
What is y= 4x + 1 ?
100
-6x + 8y = 24
What is x-int= -4, y-int = 3
100
Write in slope intercept form given: (-5, 6), slope = -3
(hint: put in point-slope form first)
What is y= 3x + 21
200
The cost of electricity to run a computer is given. Is this a constant rate of change? Explain why or why not.
Cost of Electricity (x): 5, 8, 12, 24, Cost in cents (y): 15, 24, 36, 72
yes. The constant rate is 3 cents per hour
200
slope-intercept formula
y = mx + b
200
Slope = -3,
y-intercept = 5
What is y= -3x + 5
200
3/4x - 6y= 18
What is x-int = 24, y-int = -3
200
write in slope-intercept form given: (6, -6), slope= 5
What is y= 5x - 36
300
The total number of customer helped at a jewelry store is given. Is this a constant rate of change? Explain why or why not. Time (x): 1, 2, 3, 4, and Total Helped (y): 12, 24, 36, 60
no the rate of change is not constant from 36 to 60 people.
300
direct Variation
What is y= mx
300
-x + y = 4
What is slope = 1, y-intercept =4
300
-1/4x - 1/3y = 12
What is x-int = -48, y-int = -36
300
write in slope intercept form given: (0,1) and (2,5)
What is y= 2x + 1
400
the sale price comparison is given. Is this a constant rate of change? Explain why or why not? Retail price (x) : 0, 10, 20, 30, and Sale price (y): 0, 5, 10, 15.
yes. the rate of change is 1/2
400
slope formula
What is (y2-y1)/ (x2-x1)
400
y + 3x = -7
What is Slope = -3, and y-int = -7
400
Mr. Jeans raises cows and chickens on his farm. Together these animals have 140 legs. This can be represented by 4x + 2y =140. Find AND Interpret the x- and y- intercepts.
What is x-int means 35 cows and no chickens, y-int means 70 chickens and no cows.
400
Write in Slope-intercept form given: (-5,9) and (1,3)
What is y= -x + 4
500
What is the constant rate of change given: number of transactions (x): 3, 6, 9, 12, and Balance (y): 170, 140, 110, 80. Answer must be exact.
-$10
500
What is the formula for Standard Form and what can it be used to determine?
What is Ax + By = C
It is used to find the x- and y- intercepts
500
The entrance fee for to the campsite is $20. The total cost y for a camping trip for x nights can be represented by y= 15x + 20. Interpret the slope and y-intercept.
what is the slope = the cost per night and the y-int is the entrance fee
500
Monty has a total of $290 in ten dollar bills and five dollar bills: 10x + 5y = 290. Interpret the x- and y- intercepts
What is the x-int = 29 ten dollar bills and y-int = 58 five dollar bills
500
Given a linear temperature change from the first hour to 35 degrees and the second hour to 39 degrees, write an equation in point-slope form to represent the temperature y at x hour.