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

Coin problem, Explain Coin Problem? How to resolve Coin Problem? Explain br...

Explain Coin Problem? How to resolve Coin Problem? Explain brief...

Remainder when 7^103 is divided by 24 , Find the remainder when 7^103 is di...

Find the remainder when 7^103 is divided by 24 Solution) we know by the concept of mod that.....   49 is congruent to 1 mod 24(means if 1 is subtracted fom 49 u get 48 which is

Square and square root., the value of square root of 200multiplied by squar...

the value of square root of 200multiplied by square root of 5=

Shares, a person having rs.10 shares of value rs.6000 in a company which pa...

a person having rs.10 shares of value rs.6000 in a company which pays a 7% dividend invested the money gained by selling those shares and bought rs.25 shares at rs.24 per share in

Terminology related to division, Terminology related to division :   A goo...

Terminology related to division :   A good way to remedy this situation is to familiarise children with these concepts in concrete, contexts, to start with. For instance, if a chi

Examples of linear equation, Examples of Linear Equation Please provid...

Examples of Linear Equation Please provide me some Examples of Linear Equation?

Why is the steepness of a curve partially calculate, Can you explain why is...

Can you explain why is the steepness of a curve partially calculated by the units of measurement?

Creating input- output tables, How do I create an input-output table with t...

How do I create an input-output table with the rule -12

Estimate how much did larry spend, Larry purchased 3 pairs of pants for $24...

Larry purchased 3 pairs of pants for $24 each or have 5 shirts for $18 each. How much did Larry spend? Divide the miles through the time to find the rate; 3,060 ÷ 5 = 612 mph.

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