Question

A gardener planted some flowers and kept a record of their height over the first 14 days of growth. Here is the chart:
Time(days)
0
3
7
10
14
Height (cm)
4.2
6.3
9.1
11.2
14

Write an explicit rule for t(n) that gives the height of the flower after n days.

Answer 1

I'm not sure but I think:
t(n)=0.7n+4.2

Answer 2

I've checked all of them. And now I'm sure that's the correct function.

Answer 3

Do you know how to get the function? @maine2

Answer 4

no

Answer 5

First, have a look at the height at 0 days. It shows that a flower has a height of 4.2cm, with no time having elapsed. That gives us the constant of the function.
t(n)=........+4.2
You comfortable with that?

Answer 6

yes

Answer 7

so would that be the rule

Answer 8

t(n)=0.7n+4.2

Answer 9

Yes

Answer 10

ok

Answer 11

You get the 0.7n this way:
We write the function like t(n)= xn+4.2
and then plug in a height and its corresponding time. e.g. 3 days, 6.3cm
6.3=x*3+4.2
2.1=x*3
x=0.7
Plug in 0.7 into the function
t(n)=0.7n+4.2
and that's the rule.

Answer 12

ok i got it

Answer 13

You're welcome :)