Answer: 4 inches
Step-by-step explanation:
Let the width of the pool in the drawing be represented by x.
Since scale drawing of a pool has scale of 1 in :4 ft and the actual pool is 16 ft wide, this can be represented in an equation as:
1/4 = x/16
Cross multiply
4 × x = 1 × 16
4x = 16
x = 16/4
x = 4
Therefore, the pool representation in the drawing is 4 inches
A. Average rate of change for x=1 to 2: 4(2²)-4(2)=16-8=8; from x=3 to 4: 4(2⁴)-4(2³)=64-32=32.
b. Section b is 32/8=4 times greater. As the exponent of 2 increases, the gaps between consecutive powers of 2 gets wider and therefore the rate of change is greater.
Given: 
Find: 
Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point. Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.
<u>Plug in the values</u>
<u>Distribute</u>
<u>Subtract 4 from both sides</u>
Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be
.
We have the representation of this problem in the figure below. As we have a 10.3 mile race, then the equation is fulfilled as:

We know that there is <span>a water station that is twice as far from the starting line as from the finish line, then:
</span>

So:

∴

and

<span>Finally, the distance of the runner from the finish line is:
</span>