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 3.80
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)

Answer 1

The table that shows the relationship between the weights of pints of blueberries is a linear regression function

• The equation of the line is y = 0.75x
• Ten pints of blueberries weigh about 7.5 pounds.
• Ten pints of blueberries will cost about $16.875

The graph

The table entry is given as:

x 0   1     2     3       4     5

y 0 0.8 1.50 2.20 3.0 3.80

See attachment for the graph

The points on the line

A line that could best approximate the points could go through the origin (0,0) and (5,3.75)

The line equation

We have the points to be (0,0) and (5,3.75)

Since the line passes through the origin, the equation of the line would be:

$y = \frac{y_2}{x_2}x$

So, we have:

$y = \frac{3.75}{5}x$

$y = 0.75x$

Hence, the equation of the line is y = 0.75x

The weight of 10 pints of blueberries

This means that x = 10.

So, we have:

y = 0.75 * 10

y = 7.5

Hence, ten pints of blueberries weigh about 7.5 pounds.

The cost of 10 pints of blueberries

The unit rate is $2.25 per pound

Ten pints of blueberries weigh about 7.5 pounds.

So, the cost of 10 pints is:

Cost = 7.5 * 2.25

Cost = 16.875

Ten pints of blueberries will cost about $16.875

Read more about linear regression at:

https://brainly.com/question/17844286