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?

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 1

Which term is the y-intercept?

Answer 2

When is y equal to it? This tells you the meaning of the y-intercept.

Answer 3

y=mx+b is the general form of a linear equation
m is the slope
b is the y-intercept
when x = 0 what is y?

Answer 4

What does x=0 physically mean?

Answer 5

Not really sure :/ what would it be?

Answer 6

@ybarrap

Answer 7

x represents the amount of sunlight. So if x = 0 that means, what?

Answer 8

if you have 0 sunlight, what does that mean?

Answer 9

it means you have no sunlight

Answer 10

It means it's dark :)

Answer 11

So, no light, means that plant can't grow.

y = 2 + 4x

When no sunlight is present

y=2

No growth

Plant stays the same height.

Answer 12

So which option would you say is correct?

Answer 13

@ybarrap

Answer 14

Plant stays the same height.

If x=0 the plant doesn't grow, it's original length was y=2 (mm) so it stays at that height.

Answer 15

Alright thank you!