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

Numeric patterns, Kelli calls her grandmother every month Kelli also calls ...

Kelli calls her grandmother every month Kelli also calls her cousin.If Kelli calls her cousin in January, how many calls will Kelli have made to her grandmother and her cousin by t

Evaluate relate rate in shape of a cone a tank , In the shape of a cone a t...

In the shape of a cone a tank of water is leaking water at a constant rate of 2 ft 3 /hour .  The base radius of the tank is equal to 5 ft and the height of the tank is 14 ft.

Adding fractions, please give the answer 1/9+1/3 with working out

please give the answer 1/9+1/3 with working out

Concepts, what are core concepts of marketing?

what are core concepts of marketing?

Vectors, If r,R denote position vectors of points on the straight lines in ...

If r,R denote position vectors of points on the straight lines in the direction of a and b respectively, and if n is a unit vector perpendicular to both these directions, show that

Differentiation, Need Solution Find (dy)/( dx) for; (i). y = x 7 ...

Need Solution Find (dy)/( dx) for; (i). y = x 7 (ii). y = x 2γ (iii). y = x -3 (iv). y = x

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