The formula for an exponential equation is y = a * b^x with a and b being a fixed value.
"a" would also be the Y intercept, which is where the graph touches or crosses the Y axis. In the given graph, the curved line touches the Y axis at 100, so the value of a would be 100.
Now we need to find b.
The blue dot at Y 50 is lined up with x = 1, so we can use the point (1,50)
Using the X and Y values we can solve for b:
format: y = a * b^x we replace the letters with the numbers above:
50 = 100 * b^1
b^1 = b so now we have:
50 = 100 *b
Divide both sides by 100 to get b by itself:
b = 50/100, which reduces to 1/2, so b = 1/2
So the equation of the graph becomes y = 100(1/2)^x
You may need to write the 1/2 as 0.5, not sure how you need to enter it.
Answer:
9/80
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
cause i divide by the number of color is 6 and 6 divide by 240 = 40
Answer:
the image is sideways
Step-by-step explanation:
Answer:
The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
where K is the constant of proportionality
In this problem we know that
The circumference of a circle is equal to
therefore
the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant
