Graph and algebraic methods , Mathematics

Assignment Help:

To answer each question, use the function t(r) = d , where t is the time in hours, d is the distance in miles, and r is the rate in miles per hour.

a. Sydney drives 10 mi at a certain rate and then drives 20 mi at a rate 5 mi/h faster than the initial rate. Write expressions for the time along each part of the trip. Add these times to write an equation for the total time in terms of the initial rate, ttotal (r) .

b. Determine the reasonable domain and range and describe any discontinuities of ttotal (r) . Graph ttotal (r) on your graphing calculator.

c. At what rate, to the nearest mi/h, must Sydney drive if the entire 30 mi must be covered in about 45 min? Find the answer using the graph and using algebraic methods.

d. How long will Sydney take to drive the entire 30 mi if the car's initial rate varies between 10 mi/h and 20 mi/h? Use the graph and algebraic methods to find the answer.

 


Related Discussions:- Graph and algebraic methods

Triangle Treat, Triangle Treat is the page name. I don''t know the answer f...

Triangle Treat is the page name. I don''t know the answer for it, can someone give it to me?

Multiplication of two like terms with opposite signs, The product of -7ab a...

The product of -7ab and +3ab is (-7 x 3) a 2  b 2  = -21a 2  b 2 . In other words, a term with minus sign when multiplied with a term having a positive sign, gives a product having

Statistics, How do I choose a distribution test for a sample size of 60? Pr...

How do I choose a distribution test for a sample size of 60? Probability of rolling a 4 on a six sided die.

Core concepts of marketing, examination questions and answers to the above ...

examination questions and answers to the above title.

PROBABILITY.., Urn A contains 1 white,2 black and 3 red balls;Urn B contain...

Urn A contains 1 white,2 black and 3 red balls;Urn B contains 2 white,1 black and 1 red balls;and Urn C contains 4 white,5 black and 3 red balls.One urn is chosen at random and two

Which of the following could be the dimensions the courty x, Katie's school...

Katie's school has a rectangular courtyard whose area can be expressed as 3x 2 - 7x + 2. Which of the following could be the dimensions of the courtyard in terms of x? Since t

Quantitative analysis, Suppose the economy is now ‘open’ and thus has an ex...

Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget

????????, ?????? ?????? ?? ???? ??????? ???????? ?????? 3.5 ?? ??? ???? ???...

?????? ?????? ?? ???? ??????? ???????? ?????? 3.5 ?? ??? ???? ???? ????? 50??/???? ??????20??/???? ???? ?? ?? ?????? ???????? ??? ??? ?? ??????? ??????? ? ?? ????? ????

Hierarchical multiple regression, A group of children who lived near a lead...

A group of children who lived near a lead smelter in El Paso, Texas, were identified and their blood levels of lead were measured. An exposed group of 46 children were identified w

Find the determinant and inverse matrix, Find the Determinant and Inverse M...

Find the Determinant and Inverse Matrix (a) Find the determinant for A by calculating the elementary products. (b) Find the determinant for A by reducing the matrix to u

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd