Answer:
Table of values







<em>See attachment for graph</em>
Step-by-step explanation:
Given

Solving (a): Make a table
Considering the values of x from 0 to 5, we have:
When 

When 

When 

When 

When 

When 

So, we have:







Solving (b): The graph
See attachment
Answer:
an=29.7(1/3)^(n−1)
Step-by-step explanation:
The first term, a1, is 29.7.
The common ratio, r, is 9.9/29.7 = 1/3.
The generic explicit rule is ...
an = a1·r^(n-1)
Filling in the values you have gives the explicit rule ...
an = 29.7(1/3)^(n-1)
_____
Please note that parentheses on the exponent are essential. Without them, the expression has a different meaning entirely.
First pick a value of

close to

. You should be fine with

.
The linear approximation of

at

is given by

where

is some fixed value close to

. You have

so



The actual value is closer to -0.9709, so the approximation is decent.
Answer:
45 gallons
Step-by-step explanation:
1 hour = 3 gallons
2 hours = 6 gallons
3 hours = 9 gallons
4 hours = 12 gallons
5 hours = 15 gallons
10 hours = 30 gallons
15 hours = 45 gallons
Answer:
14
Step-by-step explanation:
multiply 3×2/3 and 3×4 and add them
2+12=14