Question

Daniel opened a car wash station in his neighborhood. He recorded the number of cars washed each week for the first six weeks. The data are shown as a scatter plot below. Based on the line of best fit, which of these would be the best prediction for the number of cars washed in Week 9? Answer 8 24 28 19 3 points Question 23

Answer 1

Where's the scatter plot?

Answer 2

i did it do you see it

Answer 3

That arrow line would be your 'perfect line'; can you find the equation of this line?

Answer 4

There's two clear points: (0,0) and (3,8). Can you find the equation of this line by using these two points?

Answer 5

no

Answer 6

Ok let's try to find the slope first by using the formula \[m=\frac{y_2-y_1}{x_2-x_1}\]

Answer 7

using those two post

Answer 8

Yes.

Answer 9

ok

Answer 10

which order do i put first

Answer 11

Okay, I gave you the two points in the graph;
(0,0) and (3,8)

Now you can just name them and put them in the slope equation

\(x_1=0;~y_1=0\) (Point (0,0))
\(x_2=3;~y_2=8\) (Point (3,8))

Answer 12

so that would be -5,0

Answer 13

\[m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{3-0}=\frac{8}{3}\]

You should get that, how did you arrive to -5,0)?

Answer 14

i did 0-0 and 3-8

Answer 15

Look careful at the formula.

Answer 16

\(x_1\) is 0
\(x_2\) is 3

Answer 17

oh so its 8/3

Answer 18

Yes.

Answer 19

Now by using a point and the slope we just found, find the equation of this line.

Answer 20

idk its hard

Answer 21

Use the point-slope form

\[(y-y_1)=m(x-x_1)\]

Where \(\large (x_1,y_1)\) is a point on the line.

Answer 22

idk

Answer 23

Here we found that the slope is \[\frac{8}{3}\]
Let's use the points (0,0)\[(y-y_1)=m(x-x_1)\\y-0=\frac{8}{3}x\\y=\frac{8}{3}x\]

Answer 24

This would be our equation. Now they want the prediction for week 9

Answer 25

yes