Vocabulary
Where the graph crosses the y axix
y intercept
For the first 28 days, a sunflower grows at a rate of 3.5 centimeters per day. Is this a linear situation?
Yes
1000 grams in 1 kilogram
3000 kg
y=10x+260
Where the graph crosses the x axis
x intercept
A $12,000 car depreciates at 7% per year. Is this a linear function?
No
Convert 900 gallons into pints
1 gallon = 4 quarts
1 quart = 2 pints
7200 pints
A line passes through the point (0,5) and (2,2)
m= -3/2
The steepness of a line
slope
The weight, in pounds, of a newborn baby t months after birth can be modeled by the equation W=1.5t+10. What is the slope of the equation and what is its interpretation in the context of the problem?
1.5 pounds per month
Rebecca took 14.5 seconds to run the 100 meter dash. What is her speed in inches per hour.
12 inches in 1 foot
3 feet in a meter
893,793.1034 inches per hour
What is the y intercept of the line that passes through the points (0,5) and (2,2)
5
Two variables have this type of relationship if their respective values are always in the same ratio
At the end of a snow storm, Savannah saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Savannah's lawn, in inches, can be modeled by the equation S=-1.5t+15, where t is the time, in hours, after the snow stopped falling. What is the slope of the equation and what is its interpretation in the context of the problem?
-1.5 inches per hour
An object is moving at a speed of 9 centimeters every 5.5 minutes. Express this speed in miles per day. Round your answer to the nearest hundredth.
1 meter = 100 centimeters
1 foot = 0.305 meters
5280 feet = 1 mile
0.01 miles per day
Write the equation of the line that passes through the points (0,5) and (2,2)
y=-3/2 x + 5
This type of function forms a line when graphed
Linear Function
Isaiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. The equation P=0.025x+85 represents Isaiah's total pay on a day on which he sells x dollars worth of computers. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
$85 base pay
The density of a certain material is such that it weighs 10 ounces per gallon of volume. Express this density in pounds per pint. Round your answer to the nearest hundredth
1 gallon = 4 quarts
1 quart = 2 pints
1 pound = 16 ounces
0.08 pounds per pint
How would you graph the line 5x+6y=-12