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 3.80
a. Graph the data shown in the table using the coordinate plane provided to the right.

Question 1
b. A line that could best approximate the points could go through which two points below?
A line that could best approximate the points could go through Response area.

(0,0)
and (5,3.75)
(2,1.50)
and (4.5,2.25)
(0,0)
and (2,2.25)
Question 2
c. Use the points you chose in part (b) to write an equation of the line.
y=
y
=

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

Ten pints of blueberries weight about pounds.

e. Blueberries cost $2.25 per pound. Use the equation to predict how much 10 pints of blueberries will cost, to the nearest cent.

Ten pints of blueberries will cost about $
$
.

Question 3
PointMove
UndoRedoReset
PintsWeight (pounds)

12

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9