how would you write an equation or inequality that could be used for analysis, prediction example gas prices?

can some one explain to me how to write this

i was going to do mine on diet
how my sister last pounds on her diet she weight 410 lbs to begin with lost 1 year 110 lbs 2 nd year she 110 lbs
she weighs 190 lbs now

ok, now you have given me something to work with.
I see 3 ordered pairs
(0,410)
(1,300)
(2,190) the first no being years, the second number being weight.

notice if you take the slope between any two points, you get the same, slope = -110, so it must be a linear function

it is easy to see that the function is

weight = -110n + 400

there is an obvious restriction on the value of n, she can't keep losing weight like that for long
e.g. if n=5 she would have disappeared.

use a similar method for other analysis problems if you are given data that follow a mathematical pattern.

To write an equation or inequality for analyzing and predicting gas prices, you need to gather relevant data and determine the mathematical relationship between the variables. Here's how you can do it:

1. Collect Data: Gather information on gas prices over a specific period of time. For example, record the gas prices every month for the past five years.

2. Establish Variables: Identify the variables that are influencing gas prices. Common variables can include time, economic factors, supply and demand, political situations, etc. Assign appropriate symbols to represent these variables. For instance, you can use "P" for gas prices and "t" for time.

3. Analyze the Data: Plot the collected data points on a graph, where the x-axis represents time and the y-axis represents gas prices. Look for any patterns or trends among the data points.

4. Determine the Mathematical Relationship: Based on the patterns observed in the data, determine the appropriate equation or inequality to represent the relationship between the variables. This could involve linear, exponential, or trigonometric functions, depending on the nature of the data.

5. Test and Refine the Equation: Check if the equation accurately represents the data points. If it does not, you may need to adjust the equation or consider other variables that could affect gas prices.

For example, if you observe that gas prices tend to increase by a fixed amount every year, you could use a linear equation:

P = mt + b

Where P represents gas prices, t represents time (in years), m represents the slope (rate of increase), and b represents the y-intercept (initial gas price).

To predict future gas prices, substitute the desired time value (in years) into the equation to estimate the price at that time.

Remember, the accuracy of predictions depends on the quality and reliability of the data used and the assumptions made in developing the equation or inequality.