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:
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Answer:
x=45
Step-by-step explanation:
Then,
x/5(15)-47=28
Step 1: Simplify the equation on both sides
x/9(15)-47=28
5/3x-47=28
Step 2: Add 47 to both sides
5/3x-47+47=28+47
5/3x=75
Step 3: Multiply both sides by 3/5
(3/5)*(5/3x)=(3/5)*(75)
x=45
The resulting equation will represent a line whose slope is 1/2 times the slope of the line
<h3>How to determine the slope of the new line?</h3>
The equation of the line is given as:
y = 3x/a + 5
The constant a is a positive constant.
So, when the value of a in the equation is doubled, we have:
y = 3x/2a + 5
A linear equation is represented as
y = mx + b
Where m represents the slope.
So, we have:
m1 = 3/a
m2 = 3/2a
Substitute m1 = 3/a in m2 = 3/2a
m2 = 1/2 * m1
Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line
Read more about linear equation at:
brainly.com/question/14323743
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