The table models an exponential relationship, and the equation of the table is ![y = 4(1/2)^x](https://tex.z-dn.net/?f=y%20%3D%204%281%2F2%29%5Ex)
<h3>How to analyze the table of values?</h3>
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
When x = 0 and y = 4, we have
![ab^0 = 4](https://tex.z-dn.net/?f=ab%5E0%20%3D%204)
Evaluate
a = 4
When x = 1 and y = 2, we have
![ab^1 = 2](https://tex.z-dn.net/?f=ab%5E1%20%20%3D%202)
Evaluate
![ab = 2](https://tex.z-dn.net/?f=ab%20%20%3D%202)
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in ![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
![y = 4(1/2)^x](https://tex.z-dn.net/?f=y%20%3D%204%281%2F2%29%5Ex)
Hence, the equation of the table is ![y = 4(1/2)^x](https://tex.z-dn.net/?f=y%20%3D%204%281%2F2%29%5Ex)
Read more about exponential models at:
brainly.com/question/11464095
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You know that it decreased 42 feet a second, so all you have to do is multiply by 27 to get 1134 feet. Since it's decreasing, it would be represented as a negative number, making the answer D. Next time, take it slow and draw a unit rate, as shown below!
Answer:
The answer is 27
Step-by-step explanation:
You count how many lines it takes up and add them together
Answer:
x = 1.02564
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
35 + 0.8x = 43 - 7x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43
- [Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8
- [Division Property of Equality] Divide 7.8 on both sides: x = 1.02564