How can you use an equation to make a prediction from a pattern?

Let's say your pattern is 5, 10, 15. You can do 10 divided by 5 which equals 2 then you can do 15 divided by 5 which equals 3. This means that the pattern increase by one. 1 times 5 equals 5. 2 times 5 equals 10. And that 3 times 5 equals 15. This way you know that the fourth number will be 4 times 5. Another way you can do is use an exponential or linear equation to find a pattern. Take the second number and divide it be the first number. Take then answer and times it by what number you need to fine. So let's say that number that you had founded was 6 and the pattern number you need is 8. So then you do 8 times 6 while will get you 48. If you need to know more I would google how to do exponential equations or linear.

$5300

Step-by-step explanation:

Pounds of food produced - - - - - - profit($)

100 - - - - - - - - - - - - - - - - - - - - (- 11,000)

250 - - - - - - - - - - - - - - - - - - - - - 0

500 - - - - - - - - - - - - - - - - - - - - 10,300

650 - - - - - - - - - - - - - - - - - - - - 11,500

800 - - - - - - - - - - - - - - - - - - - - 9,075

Using the quadratic regression calculator, with a general form of equation:

y=Ax^2+Bx+C

y = 0.0186x^2 - 11.3241x + 8422.2857

With the equation obtained, we can estimate the profit when 350 pounds of food are produced.

Here, x = 350

y = - 0.0817x2 + 102.2355x - 20420.955

y = - 0.0817(350)^2 + 102.2355(350) - 20420.955

y = - 10008.25 + 35782.425 - 20420.955

y = $5353.22