Describe a situation in real life that can be modeled by an algebraic equation or system...

Describe a situation in real life that can be modeled by an algebraic equation or system of equations. How about one modeled by an inequality or system of inequalities? If it is a situation you read about or saw on television, please give the appropriate citation.

Solutions

Expert Solution

Example 1

In order to get a rise in pay this month, Tim must sell at least 160 newspaper subscriptions. He sold 100 subscriptions in the first three weeks of the month. How many subscriptions must Leon sell in the last week of the month?

Solution

Let x = the number of subscriptions Tim sells in the last week of the month.

The total number of subscriptions for the month must be greater than or equal to160, so we write :

100 + x 160.

We solve the inequality by subtracting 100 from both sides: x 60.

Tim must sell 60 or more subscriptions in the last week to get his rise in pay.

Example 2

The width of a rectangle is 200 inches. What must the length be if the perimeter is at least 1800 inches?

Solution

Let x = length of the rectangle. The formula for perimeter is:

Perimeter = 2 x length + 2 x width

Since the perimeter must be at least 180 inches, we have 2x + 2(20) ? 180.

Simplify: 2x + 400 1800

Subtract 40 from both sides: 2x 1400

Divide both sides by 2: x 700

The length must be at least 700 inches.

milcah answered 1 year ago

Next > < Previous

Related Solutions

how sensitivity analysis apply in real life? real life situation or real life scenario?

Describe examples where normal and uniform distribution probability would be useful in a real-life business situation

Change in concentration of salt in a reactor can be modeled by the following equation y’...

Change in concentration of salt in a reactor can be modeled by the following equation y’ = ty+y1/2 Initial concentration of salt at time (t= 0 hours) is 1g/l, y(0)= 1, find the concentration of salt after 0.2 hour y(0.2)= ? by using Euler, Heun and RK4 methods. Use h= 0.1

3a. Identify a real world problem that you are familiar with that can be modeled as...

3a. Identify a real world problem that you are familiar with that can be modeled as a TSP. State the problem. Set-up the distance/cost/penalty matrix and solve it using the TSP model provided by the Lingo software. You need to define the number of cities and the distance matrix only in the model and run it. Interpret the optimal solution and comment on the solution. Try to select a problem with 6 to 8 Tasks(cities).

The life time of a dryer machine can be modeled with the probability distribution , where...

The life time of a dryer machine can be modeled with the probability distribution , where x is the time in years and beta is an unknown parameter. Findings that 3 machines life time are after x1, x2, x3 years. 1. what is the likelihood function? 2. assume the observations are x1 = 5, x2 = 6, x3 = 5. Use this information and simplify the likelihood function as much as possible. 3. what is the log-likelihood function, simplified as...

Give an example of "Gaslighting". It can be a commercial, politician or describe a real-life example...

Give an example of "Gaslighting". It can be a commercial, politician or describe a real-life example of someone that tries to "Gaslight" us to act as though the pandemic doesn't exist.

4. Real batteries have an "internal resistance", so a real battery can modeled more or less...

4. Real batteries have an "internal resistance", so a real battery can modeled more or less realistically by an ideal battery in series with a resistor. Suppose the emf of the ideal battery is V and the internal resistance is r; if you connect this battery across a resistor R, find the "terminal voltage" across the battery, the current supplied, and the power dissipated in the battery. Compare this to the power dissipated by the battery if R = 0;...

Find a real life example of a situation in, which a country held an election to...

Find a real life example of a situation in, which a country held an election to decide on some public good provision issue. It could be an on-off decision or it could be about the level/amount of public good. Explain what the issue was. What was the result of the election? Your example should also offer details about characteristics of the society that may have influenced the election decision (education, culture, income, norms etc.) In other meaning, explain the factors...

(only one situation) It poses a problematic situation in real life, where you need mechanical physics...

(only one situation) It poses a problematic situation in real life, where you need mechanical physics to solve it. The problem must contain the following topics: 1) Conservation of mechanical energy. 2) Conservation of the linear or two-dimensional moment. 3) Conservation of angular momentum. It may have some subject of additional physics, but the previous three must be in the situation. After realizing the realistic problem, it is necessary to solve it. Any questions write to me. Thank you They...

Describe a situation that you have seen that would be appropriately modeled using simulation. Explain why...

Describe a situation that you have seen that would be appropriately modeled using simulation. Explain why modeling using simulation would be appropriate.

Subjects