What is the rise over run formula

Question

The table shows the weights y of x pints of blueberries. Number of Pints, x 0 1 2 3 4 5

Weight (pounds), y 0 0.8 1.50 2.20 3.0 3.75

a. Graph the data in the table.

b. Draw the straight line that you think best approximates the points.

c. Write an equation of the line you drew.

d. Use the equation to predict the weight of 10 pints of blueberries.

e. Blueberries cost $2.25 per pound. How much do 10 pints of blueberries cost?

Answer 1

Hi Sara,

you have this table:

x	y
0	0
1	0.8
2	1.50
3	2.20
4	3.0
5	3.75

a- draw coordinate plane and show all points that are in the above table such as (0,0) and (1,0.8) and so on

b- try and be careful then connect all points, you will see a line

c- find the slope, HOW ? slope = difference of y over difference of x of two points that you choose

I chose ( 0,0) and (1,0.8) slope = ( 0.8 - 0 )/ (1-0) = 0.8

for finding an equation of line use: y - y₁ = slope( x - x₁)= y - 0 = 0.8 ( x - 0 )---> y = 0.8 x equation of line

Be careful if I chose (0.0) and (5,3.75) then slope is 0.75

if I chose (0.0) and (4,3) then slope is 0.75

if I chose (0,0) and (3,2.20) then slope will be 0.73, because of this, ask you the best approximate

I believe the best is y = 0.75 x as an equation of line

d- x = 10 so y = 10 *0.75 = 7.5 weight

e- 7.5 * 2.25 = 16.875 approximate $17 cost

I hope it is useful,

Minoo