Answer:
The required equation is: 
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of 
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: 
From the table we have: 
Putting values and finding slope

So, we get slope 
Now, finding y-intercept
Using the slope
and point (3,-5) we can find y-intercept

The y-intercept is 
So, the equation having slope
and y-intercept
will be:

The required equation is: 
Answer:
.................................
Answer:
meter and then gallon
Step-by-step explanation:
i hope this helps :)
Answer:
My sister will swing the total distance = 40 feet
Step-by-step explanation:
On the first swing my sister travels a distance of 8 feet.
In every successive swing she travels 80% of the distance of the previous distance.
So the sequence formed by the distance traveled in every swing will be a geometric sequence.
First term of the sequence 'a' = 8 feet
common ratio 'r' = 0.80
Since this sequence is an infinite geometric sequence,
Sum of this sequence =
[Since r < 1]
= 
=
= 40 feet
Therefore, my sister will cover the total distance = 40 feet