Non-proportional
If it costs $55 for a plane ticket and $10 per luggage bag you check in, how much will you pay if you have to check in 2 bags?
55 + 10x2 = $75 for the plane ride altogether
Find the slope: y = 5x + 15
5
Define y-intercept:
the number that crosses (intersects) the y-axis; the base/starting number; the "+b" in your equation
DOUBLE Points: Find the y-intercept: y = 5x + 15
15
What is the cost per steak if 3 steaks costs $15.75?
15.75 divided by 3 = $5.25 per pound
DOUBLE Points: if custom shoes cost $25 for the shoes and $15 per hour of work to make them custom, how much do you pay for custom shoes that took 3 hours to make?
25 + 15x3 = $70 for the work and the shoes
Find the slope IN DECIMAL FORM:
y = 2/5 x + 3
0.4; 0.40; .4
Define slope:
the "m" that is multiplied times the "x" values; the increasing/decreasing value in your equation/word problem; the number that includes "each/per/every/an"; change in y/change in x
Find the y-intercept: a graph starts a (0,1) and increases by 4 up and 1 to the right
+1 (it's a positive 1 in the 0,1 ordered pair)
If you make $336 for working a full 8 hour work day, how much do you get paid per hour?
336 divided by 8 = $42 per hour
The UBER App costs $2.99 to install and you pay $1.20 per mile for your UBER Ride. If you take an UBER into Houston from here (30 miles), how much do you pay?
1.2x30 + 2.99 = $38.99 for the total trip
Find the slope: a graph starts a (0,1) and increases by 4 up and 1 to the right
4/1 = 4
Define linear:
a straight line
Find the y-intercept:
x -1 0 1 2 3
y 0 2 4 6 8
+2 because when x=0, y=positive 2
DOUBLE Points: if you traveled 350 miles in 7 hours, how fast were you travelling in miles per hour?
350 divided by 7 = 50 miles per hour (mph)
A toy store sells LEGOS $0.80 per pound and $5.20 for a set to play on. If you bought 6 pounds of LEGOS, how much do you pay altogether?
0.80x6 + 5.20 = $10 total
DOUBLE Points: Find the slope: a graph starts a (0,0) and increases by 10 up and 5 to the right
10/5 = 1/2 or 0.50 (need to simplify)
Define origin:
DOUBLE Points: define origin and whether it is proportional or non-proportional
(0,0)
Proportional
Find the y-intercept IN DECIMAL FORM:
y = 2/5 x + 3/2
3/2 = 1.5 or 1.50
If you can win 4 games of Among Us in 3 hours, how many can you predict you will win in 24 hours (one day)?
3x8=24 hours, so 4x8= 32 games
How can you tell if a table or graph is non-proporitonal?
DOUBLE Points: Also tell me how can you tell an equation or word problem is non-proportional?
Table: x = a number that isn't 0
Graph: the line does NOT cross the origin (0,0)
Equation: there is another number in the equation (+b)
Word problem: there is a "fee", "one-time charge", "base price", or other value that is not repeated (not mx)
Find the slope: a pizza costs $5.99 per medium pizza with a delivery fee of $5
$5.99 (has the word "per")
DOUBLE Points: CROC stands for...
Constant Rate Of Change
Find the y-intercept: a fair has each ride cost $1.50 and an admission fee of $3.00
$3.00 ($1.50 is the "slope" or "each" cost)
What is the y-intercept for a proportional graph?
(0,0) or the "origin"