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

Linear differential equations, A linear differential equation is of differe...

A linear differential equation is of differential equation which can be written in the subsequent form. a n (t) y (n) (t) + a n-1 (t) y (n-1) (t)+..............+ a 1 (t) y'(

Find relation between x and y while lies on straight line, Find the relatio...

Find the relation between x and y when the point (x,y) lies on the straight line joining the points (2,-3) and (1,4) [ Hint: Use area of triangle is 0] Ans :   Hint: If the poi

Hydrostatic pressure and force - applications of integrals, Hydrostatic Pre...

Hydrostatic Pressure and Force - Applications of integrals In this part we are going to submerge a vertical plate in water and we wish to know the force that is exerted on t

the system by graphing, Suppose you are in the market for a new home and a...

Suppose you are in the market for a new home and are interested in a new housing community under construction in a another city. a) The sales representative later shows that there

Solve the right triangle, 1. Solve the right triangle. B = 135     c = 3...

1. Solve the right triangle. B = 135     c = 3.72 A  ≈ ____°    (round to the nearest tenth as needed) 2.  Solve the right triangle, where  a =4 and b =10 The length of

Solving ratios, you are in charge of making punch for an upcoming dance. th...

you are in charge of making punch for an upcoming dance. the punch recipe makes 5 cups of punch by making 3 cups of cranberry juice with 2 cups of apple juice. What is the ratio of

Help, can you help me with math

can you help me with math

The appropriate resource constraint, Consider a person's decision problem i...

Consider a person's decision problem in trying to decide how many children to have. Although she cares about children and would like to have as many as possible, she knows that chi

Linear relations, determine the equation that represent the following lines...

determine the equation that represent the following lines be sure to define your variable and show all of your work

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