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Slope at the dinner table
Remember Equations??
100

Billy plans to paint baskets. The paint costs $14.50. The baskets cost $7.25 each. 

1. Write an equation that gives the total cost as a function of the number of baskets made. 

2. Determine the cost of four baskets.

y = 7.25x + 14.50

$43.50

100

(5, 7) and (3, 6)

What is

1/2


100

What is the slope of the graphed line?

What is m=-2

100

What is slope intercept form?

y = mx + b

100

1              4

2               6

3              8

4             12

2/1 or 2 

100

How many solutions does the equation below have? One solution? no solution? infinitely many solutions? 

4(x + 3) = 3x + 2 + x

no solution

200

A sunflower in Julia Rosario's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeters per day. Write an equation expressing the sunflower's height  in terms of the number of days since it was planted.

y = .6x + 12

200

(2, 5) and (8, 1)

What is 

-2/3

200

What is the slope of the graphed line?

What is m= -1/2

200

What is the slope? What is the y intercept?

y = 3x - 5

m = 3

b = -5

200

2               0

5               4

8               8

11            12

4/3

200

How many solutions does the equation below have? One solution? no solution? infinitely many solutions? 

3x + 5 + 2x = 12 + 4x

one solution   x=7

300

Felicia Johnson paid $125 to join a tennis club. She pays an additional $5 every time she uses one of the club's tennis courts. 

1. Write an equation that describes Felicia's total cost for playing tennis

2. Felicia does not want to spend more than $275 to play tennis during the summer. What is the maximum number of times that she can play tennis on the club's courts for this amount? 

y = 5x +125

max is 30 times

300

(0, 25) and (10, 0)

What is 

-5/2

300

 What is the slope of the line?

What is  m= 2/3

300

What equation has:

Slope: 1/2

Y - intercept: -3

y= 1/2x-3

300

5            10

0             7

-5            4

-10           1

-3/5

300

How many solutions does the equation below have? One solution? no solution? infinitely many solutions? 

5(x+2) - 3x = 2(x+5)  


infinite solutions
400

The cost of a school banquet is $95 plus $15 for each person attending. 

1. Write an equation that gives total cost as a function of the number of people attending.

2. What is the cost for 77 people?

y = 15x + 95 

$1250 

400

(2,3) and (9,7)

What is 

4/7

400

 What is the slope, and y-intercept of the line?

What is   m=-2/3, y-int.=2

400

This is the slope-intercept form of this standard form equation:12x-9y=-9

What is y=4/3x+1

400

9                3

18              6

27              9

36             12

3/9 or 1/3

400

How many solutions does the equation below have? One solution? no solution? infinitely many solutions? 

3x - x + 4 = 4(2x - 1)

one solution   x = 4/3

500

If a large factory sells its new gadgets for $5 each, it can sell 1050 per month, and if it sells the same gadgets for $9, it will sell 900 per month. 

Assuming the relationship between price and sales is linear, predict the monthly sales of gadgets to the nearest whole number if the price is $12.

y = -37.5x + 1237.5

788 gadgets

500

(0,10) and (5, -5)

What is -3?

500

 What is the slope, y-intercept, and x-intercept of the line graphed below?

what is m=-1/2, y-int. = 1, x-int. = 2

500

What is the equation of the line?

y=1/2x+3

500

1                   2

2                   2

3                   2

4                   2

slope = 0

500

How many solutions does the equation below have? One solution? no solution? infinitely many solutions? 

2x - x + 7 = x + 3 + 4 

infinite solutions

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