Question

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. The variable h models the height of the tree (in centimeters), t years since Renata moved in. h=210+33t How tall was the tree when Renata moved in?

Answer 1

210cm

Explanation:

The given function is linear expression that shows a growth of 33 centimeters per years, where years is t.

Now, if we observe the function, the initial condition is 210. When we talk about the initial condition is when t=0, in other words, it's at the moment Renata moved in. So, we can calculate that initial condition at t=0

`h=210+33t=210+33(0)=210`

Therefore, the tree was 210 cm tall when Renata moved in.

Answer 2

210 cm.

Explanation:

210cm is the y-intercept. Hence, it tells us the height when Renata moved in.

You can also check this in slope intercept form

y = mx + b, where m is the slope = 33 and b is the y intercept = 210