Improve Your Math Modeling Skills with Practice Problems

To find:
The percent of moisture in the central Sierra Nevada (a mountain range in California), to the nearest tenth that falls as snow at each altitude (a) 3000 ft (b) 4000 ft (c) 7000 ft using the model $f (x) = 86.3 I n x - 680$ , where x is altitude in feet and f(x) is the percent of moisture that falls as snow.

cistG 2021-08-14

To solve:
The equation $E = I Z$ for given $I = 10 + 4 i, E = 88 + 128 i$

emancipezN 2021-08-14

To find:
a) radiative force R when the carbon dioxide level is double the preindustrial amount of carbon dioxide in watts per square meter by using $R = 6.3 I n \frac{C}{C_{0}}$ .
b) the global temperature increase T by using $T (R) = 1.03 R$

Zoe Oneal 2021-08-13

To solve: The problem by modeling and solving a system of linear equations.

preprekomW 2021-08-12

To find:
The period of a pendulum 3.5 ft long using $t = 2 π \sqrt{\frac{L}{32}}$ .

boitshupoO 2021-08-12

A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $145(without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item? Let $x =$ the cost of a calculator and $y =$ the cost of the textbook.

The corresponding modeling system is ${\begin{cases} x + y = 145 \\ x = 4 y + 20 \end{cases}$
Solve the system by using the method of substitution and enter the ordered pair.

Daniaal Sanchez 2021-08-12

A person is making a 5-gallon punch for a party that will consist of two different types of juices. apple and orange juice. They use at least 1 gallon of each type but want to use more apple than orange juice. Given that x represents the gallons of apple juice in the punch and y represents the gallons of orange juice in the punch, then create a system of equations and/or inequalities modeling the scenario. Select all that apply.
a) $x + y = 5$
b) $x - y = 5$
c) $x > y$
d) $x < y$

Tazmin Horton 2021-08-12

The height of the ball increases until it reaches a maximum height of 8 yards, 20 yards away from the player.
To find: Which kick travels further before hitting the ground.

Zoe Oneal 2021-08-11

To calculate: An even that occurs in the future may result in forward growth of percentage of women in labor force. It is good to use a square root function for modeling this trend.
The function, $f (x) = 3.5 \sqrt{x} + 38$ models the percentage of U.S women in the labor force, $f (x)$ and x years after 1960.

ossidianaZ 2021-08-11

To find: The year in which the 2006 cost of tution, room and board fees in public colleges will be doubled using the function $f (x) = 13.017 {(1.05)}^{x}$

texelaare 2021-08-10

To find:
The approximated quarterback rating (to the nearest tenth) of Drew Brees of the New Orleans Saints during the 2013 regular season using, Rating $= \frac{(250 \cdot \frac{C}{A}) + (1000 \cdot \frac{T}{A}) + (12.5 \cdot \frac{Y}{A}) + 6.25 - (1250 \cdot \frac{I}{A})}{3}$ .

Daniaal Sanchez 2021-07-31

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. When does population increase the fastest for the Gompertz equation
$P {(t)}^{'} = α \ln (\frac{K}{P (t)}) P (t) ?$

nitraiddQ 2021-07-14

Use the fallowing terms to create a concept map that compares models of population growth: logistic model, exponential model, density dependent factors, density independent factors, limited growth, unlimited growth, disease, drought, food availability, and forest fires.

ka1leE 2021-07-02

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. To earn an A in a course, you must have a final average of at least 90%. On the first four examinations, you have grades of 86%, 88%, 92%, and 84%. If the final examination counts as two grades, what must you get on the final to earn an A in the course?

Wribreeminsl 2021-07-01

There is a news clipping from Scientific American on modeling global climatic change. Without doing research, discuss how this might be accomplished.

ediculeN 2021-06-29

Identify each function as modeling either exponential growth or exponential decay. What percent of increase or decrease does the function model? $y = 0.1 {(1.7)}^{x}$

Harlen Pritchard 2021-06-26

Modeling situations as functions is common. Describe whether each description represents a function. Explain. a. The input is a day of the year. The output is the average temperature in Barcelona on that day. b. The input is speed of a car. The output is the time it takes for a car moving constantly at that speed to travel 100 miles. c. The input is a positive number. The output is a number whose absolute value is the input. d. The input is a year. The output is the population of the United States during that year.

Chardonnay Felix 2021-06-24

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. Assume that for a population K=1000 and α=0.05.. Draw the directional field associated with this differential equation and draw a few solutions. What is the behavior of the population?

Yasmin 2021-06-24

Explain how you determine the best polynomial function to use when modeling data.

Burhan Hopper 2021-06-22

Describe mathematical modeling in you r own words.

Since Math modeling problems can be encountered anywhere from AI-based solutions to programming and design, questions that relate to this area of Algebra are always in demand. You can see various Math modeling examples below that provide help and solutions to various problems. While it may not address your particular challenge, taking a look at some solutions will always provide a great starting point. See several Math modeling questions first and compare them to see the rationality and the use of equations that make things easier.

Algebra II

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