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34kurt
3 years ago
15

98 points!!

Mathematics
2 answers:
k0ka [10]3 years ago
6 0

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.

IceJOKER [234]3 years ago
4 0

What is the equation of the exponential graph shown?

_ = _ _ _ ( _ _ _ ) _ _ _ _ _

1st is easy "y="

graph is exponential decay which has the form y=a*(b^x) where a,b are constants

x=0, y=a*b^0=a=100

so y=100*b^x

x=1. y=100*b=50

b=0.5

ans y=100(0.5)^x

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Michael saves $423 dollars a month for college.
alexandr1967 [171]

Answer:

(a). $20,000

(b). The estimate will be lower than the actual amount.

Step-by-step explanation:

We have been given that Michael saves $423 dollars a month for college.

(a). We know that 1 year equals 12 months.

4 years = 4*12 months = 48 months.

\text{Actual amount saved}=\$423\times 48

Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:

423\approx 400\\\\48\approx 50

\text{Actual amount saved}=\$400\times 50

\text{Actual amount saved}=\$20,000

Therefore, Michael will save approximately $20,000 in 4 years.

(b).

The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.

Therefore, the estimate will be lower than the actual amount.

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What is the solution to the equation 3(2x+5) = 3x+4x?
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