How to find the unit rate andHow to find the unit rate andwrite an equation relating the two quantitieswrite an equation relating the two quantities

To find unit rate, you DIVIDE the two To find unit rate, you DIVIDE the two quantitiesquantities

$24 for 3 t-shirts = $8/1 shirt = $8 per shirt$24 for 3 t-shirts = $8/1 shirt = $8 per shirt

To write the equation, use variables y and xTo write the equation, use variables y and x

The rate is the COEFFICIENTThe rate is the COEFFICIENT

y = 8xy = 8x

Find the unit rate of each, then Find the unit rate of each, then write an equation relating the two write an equation relating the two

quantitiesquantities

50 dollars for 100 t-shirts50 dollars for 100 t-shirts

8 dollars to rent 14 video games8 dollars to rent 14 video games

24 tablespoons of sugar in 3 glasses of 24 tablespoons of sugar in 3 glasses of Mountain DewMountain Dew

50 dollars for 100 t-shirts50 dollars for 100 t-shirts50/150 = 0.50 50/150 = 0.50 Y = 0.5xY = 0.5x

8 dollars to rent 14 video games8 dollars to rent 14 video games8/14 = .578/14 = .57Y = 0.57xY = 0.57x

24 tablespoons of sugar in 3 glasses of 24 tablespoons of sugar in 3 glasses of Mountain DewMountain Dew

24/324/3Y = 8xY = 8x

Finding Points using the EquationFinding Points using the Equation

To find points from an equation, substitute any number into To find points from an equation, substitute any number into the equation and the answer is the other number of the the equation and the answer is the other number of the pointpoint

Ex. Y = 5x If I plug in 7, I get 35 Ex. Y = 5x If I plug in 7, I get 35 SO (7, 35) is a point on the lineSO (7, 35) is a point on the line

WHAT IS THE POINT?WHAT IS THE POINT?Coordinates of a point on the graph Coordinates of a point on the graph

of each equationof each equationDetermine a point on the line and explain Determine a point on the line and explain

what it meanswhat it means

C = 8nC = 8nC is the cost in dollars for n hatsC is the cost in dollars for n hats

Answer: (3, 24) 3 hats cost $24Answer: (3, 24) 3 hats cost $24

What is the point?What is the point?

D = 5t + 25D = 5t + 25

D is the distance in miles in t hoursD is the distance in miles in t hours

Answer: (2, 35)Answer: (2, 35)

In 2 hours, the distance is 35 milesIn 2 hours, the distance is 35 miles

What is the point?What is the point?

T = -5h + 30T = -5h + 30

T is the temperature for h hoursT is the temperature for h hours

Answer: (4, 10)Answer: (4, 10)

After 4 hours, the temp is 10After 4 hours, the temp is 10°°

What is the point?What is the point?

B = 8B = 8

B is the height of a Barbie doll in t yearsB is the height of a Barbie doll in t years

Answer: The barbie will never change Answer: The barbie will never change heightheight