Question

(Machine C in comments)
The table shows the number of candies packed by Machine C. The equation shows the number of candies packed by Machine D. In both representations, x is a measure of the number of minutes and y is a measure of the number of candies packed.

Machine D: y = 130x

How many more candies could machine D pack than machine C in 11 minutes?

65

130

450

605

Answer 1

Machine C

Answer 2

Uh you first want to find the equation for the table, do you know how to start?

Answer 3

no.....
:(

Answer 4

Okay, that fine

Select any 2 data points in the table

Answer 5

so any 2 ys??
so like 150 and 300??

Answer 6

A pair

2 x's and their matching y's

Sure lets use points
(2,150) and (4,300)

Okay so subtract the y values

Answer 7

150

Answer 8

right?

Answer 9

Good and now subtract the x values

Answer 10

2

Answer 11

Okay
(We were using the equation \(\large \frac{y_2-y_1}{x_2-x_1}\)

You just subtracted the values so we can now set it up as

\(\frac{150}{2}\), can you simplify this?

Answer 12

75

Answer 13

Good

The equation of a line is \(y=mx+b\)

We just found the slope

\(y=75x+b\)

Answer 14

Now we can substitute a point back into the equation to find B

(Choose a point)

Answer 15

what point?? like give me an example Plzzz

Answer 16

(4,300)

Answer 17

ok can we go with that?

Answer 18

Sure

\(300=75(4)+b\)

Can you solve for B?

Answer 19

if you tell me what I am supposed to do
idk sorry

Answer 20

Isolate B

Answer 21

What is \(75\times 4\)?

Answer 22

300

Answer 23

Good and then subtract 300 on both sides
\(300=300+b\)
\(\color{red}{-300}~~\color{red}{-300}\)
----

Answer 24

wait 300 - 300??

Answer 25

that would be 0

Answer 26

So b is 0

The second equation is
\(y=75x\)

Answer 27

so 130 would be the answer
right?
y = 130x is the second equation

Answer 28

Machine C: y=75x
Machine D: y=130x

To find the difference, first substitute 11 into both equations

Answer 29

130 - 75 = 55 which isn't an answer

Answer 30

I said substitute 11 into both

Answer 31

what do you mean?

Answer 32

I am soo sorry
I am terrible at math

Answer 33

Change x to 11 and multiply the number with the number in front of it

Answer 34

130 = 1430
75 = 825

Answer 35

Not subtract those values

Answer 36

Now*

Answer 37

Thanks

Answer 38

I am going to close this

Answer 39

Cool np

Answer 40

i clicked best response for u and i am ur fan now too