# Math modeling questions and answers Recent questions in Modeling
Modeling
ANSWERED ### What is the first step when modeling linear relationships given limited information?

Modeling
ANSWERED ### What is a subclass? When is a subclass needed in data modeling?

Modeling
ANSWERED ### The value of D and a in $$\displaystyle{T}{\left({t}\right)}={T}{\left({0}\right)}+{D}{a}{t}$$. To estimate the temperature of pan after 10 minutes. The time taken by pan to reach 400 F.

Modeling
ANSWERED ### All positive integers n for which the given statement $$\displaystyle{3}{n}{>}{6}{n}$$ is not true.

Modeling
ANSWERED ### The differince quotient for function $$\displaystyle{f{{\left({x}\right)}}}={m}{x}+{b}$$

Modeling
ANSWERED ### a) Domain D of function E and what it represents. b) Range R of function E and what it represents. c) How many times should a repeated elevation be listed while writing range?

Modeling
ANSWERED ### The length of an American flag is 1.9 times its width. What is the width of the flag?

Modeling
ANSWERED ### You sell small and large candles at a craft fair. You collect $144 selling a total or 28 candles. How many of each type of candle did you sell? Given: Total selling price is$144. Total number of candles is 28. Cost of large candle is $6. Cost of small candle is$4.

Modeling
ANSWERED ### To write: The system of nonlinear equations from the given statement and find the numbers involved in the problem by solving the system.

Modeling
ANSWERED ### The value of expression $$\displaystyle{\left({5}^{{{101}}}\right)}^{{{\frac{{{1}}}{{{101}}}}}}$$.

Modeling
ANSWERED ### The value of expression $$\displaystyle{5}{\left({\frac{{{3}}}{{{4}}}}\right)}^{{{0}}}$$. Key Concepts Used: Any number raised to an exponent 0 is equal to 1. That is. $$\displaystyle{a}^{{{0}}}={1}$$.

Modeling
ANSWERED ### To determine: C and a so that $$\displaystyle{f{{\left({x}\right)}}}={C}{a}^{{{x}}}$$ satisfies given conditions. Given: $$\displaystyle{f{{\left({0}\right)}}}={3};{f{{\left({3}\right)}}}={24}$$

Modeling
ANSWERED ### The area of rectangle A(20,35).

Modeling
ANSWERED ### To find: A function that models area in terms of sides.

Modeling
ANSWERED ### A system of linear equation that represents the situation "A farmer plants corn and wheat on a 180 acre farm. The farmer wants to plant three times as many acres of corn as wheat", and to find how many acres of each crop should the farmer plant.

Modeling
ANSWERED ### In these problem you are asked to find a function that models a real-life situations. Use the principle of modeling described in this Focus to help you. Area Find a function that models the area A of a circle in terms of its circumference C.

Modeling
ANSWERED ### The area (in square feet) of the school sign can be represented by $$\displaystyle{15}{x}^{{{2}}}-{x}-{2}$$. a. Write an expression that represents the length of the sign. b. Describe two ways to find the area of the sign when $$\displaystyle{x}={3}$$.

Modeling
ANSWERED ### A toy rocket (not internally powered) is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec. a) Give the function that describes the height of the rocket in terms of time t. b) Determine the time at which the rocket reaches its maximum height and the maximum height in feet. c) For what time interval will be rocket be more than 300 ft above ground level? d) After how many seconds will it hit the ground?

Modeling
ANSWERED ### A uniform sphere made of modeling clay has radius R and moment of inertia $$\displaystyle{I}_{{{1}}}$$ for rotation about a diameter. It is flattened to a disk with the same radius R. In terms of $$\displaystyle{I}_{{{1}}}$$, what is the moment of inertia of the disk for rotation about an axis that is at the center of the disk and perpendicular to its flat surface?
ANSWERED 