Question

The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows:

y = 2 + 4x

What does the y-intercept of this function represent?

Answer 1

The original height of the plant was four mm.

The original height of the plant was two mm.

The height of the plant increases by two mm for every hour of sunlight it receives.

The height of the plant increases by four mm for every hour of sunlight it receives.

Answer 2

The y-intercept is the y value when x=0, or when the plant has received 0 hours of sunlight.

Answer 3

Ok so have you graphed it?

Answer 4

Nope, I was supposed to?

Answer 5

Well to be sure you have the right Y you would want to graph it

Answer 6

Graph it on what

Answer 7

Um your best software should be GeoGobra

Answer 8

Ok so I do up 4 over 2?

Answer 9

Or I start at 2 right?

Answer 10

hold on what would the y intercept be on the graph by looking at the equation

Answer 11

2? yes it would be 2 because the 4 has an x on it.

Answer 12

2? Because isn't the 4 the slope?

Answer 13

Don't waste time graphing it, you just need to learn what different parts of the function mean!

Answer 14

Yes

Answer 15

so the graph is increasing by 4

Answer 16

now it would look like

Answer 17

The term with the x is the slope. That's how fast the plant would grow.
The part without the x is the y-intercept, that's where the plant starts before sunlight has been added.

Answer 18

which answer would it be now

Answer 19

So then it would be D

Answer 20

You can mark off the 2 last ones

Answer 21

No because its the Y intercept

Answer 22

Then B?

Answer 23

Yes

Answer 24

Do you agree @DDCamp

Answer 25

Thanks :)

Answer 26

Yup, B