Proportional Relationships
If a ladybug crawls 4cm in 2 seconds, how long does it take to crawl 12cm?
6 seconds
What does it mean if something is linear?
It increases or decreases at a steady rate
What is the slope of the equation,
y = 25x - 100
What is 25
what does m and c stand for in the equation
y = mx + c
slope and y intercept
Simplify the following expression
25 - 2x + 10
35 - 2x
An ant crawls 6cm in 2 seconds, how many cm does it crawl in 16 seconds?
48cm
The equation y = 2x tells how far a bug travels in cm, per second.
How far did it crawl in 15 seconds?
30 cm
I have $1000 in my bank account. $50 is added each month.
What is the slope of this situation?
$50
Write an equation for the scenario,
I start with no money in a savings account and save $10 per week
y = 10x
Simplify the expression
5(3 + 2) - 2 x 2
21
Girl scouts are selling cookies. Each box costs the same amount. If 15 boxes is $52.50 and 22 boxes is $77, how much does each box cost?
$3.50
In 2010 I have $600 in a savings account
In 2012 I have $750 in a savings account
In 2014 I have $900 in a savings account
In 2016 I have $1050 in a savings account
How much do I add to the account each year?
$75
A line goes through the origin (0, 0) and through the point (2, 5)
What is the slope of the line?
2.5
Write an equation for the scenario,
I owe my brother $100 and pay him back $5 per week
y = -5x + 100
Is x=5 a solution to the equation
15 = 3x - 2
No
15 = 3(5) - 2
15 = 15 - 2 (this is not true)
The equation for the amount of money Elena makes babysitting is Y = 8.50x where y is the total amount earned, and x is the number of hours
Alli makes $7 per hour babysitting.
Who makes more money babysitting?
Alli
Diego earns $12 every time he cuts the lawn.
If he cuts the lawn 35 times, how much money will Diego have?
$420
A line goes through the points (10, 0) and (11, -5)
What is the slope?
-5
Write an equation for the scenario,
My grade is a 75% and it increases 3% per week
y = 3x + 75
How many degrees is a straight line?
180
Plumber #1 charges $50 per hour.
Plumber #2 charges $40 for 45 minutes of work.
Who charges more per hour?
Plumber #2
During the last winter storm, we averaged 1/2 inch of snow for 4 hours, and then 1 inch of snow for 5.5 hours.
How many inches of snow did we get?
7.5 inches of snow
A road trip took 7.5 hours, and was 487.5 miles long.
What was the average speed of the trip?
65mph
Write an equation for the scenario,
I have 150 baseball cards and sell 13 each week.
y = -13x + 150
Mr. Dyer spends $3000 a month. He has $10000 in savings. How many months can Mr. Dyer go before he is broke?
3 Months