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

Probability, One coin is tossed thrice. what will be the probability of get...

One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails

Number of permutations of ''n'' dissimilar things , Finding the numbe...

Finding the number of Permutations of 'n' dissimilar things taken 'r' at a time:  After looking at the definition of permutations, we look at how to evolve a

Fraction, One day it snowed 3 and 3/8 inches in Altoona and 3.45 inches in ...

One day it snowed 3 and 3/8 inches in Altoona and 3.45 inches in Bethlehem. Which city received less snow that day.

Trig, what is the domain of the function f(x)= 2x^2/x^2-9

what is the domain of the function f(x)= 2x^2/x^2-9

Invoices and trade discounts, Natureland garden center buys lawn mowers tha...

Natureland garden center buys lawn mowers that list for $679.95 less a 30% discount. What is the dollar amount of the discount?

Determine the volume of the pool, An inground pool is pooring with water. T...

An inground pool is pooring with water. The shallow end is 3 ft deep and gradually slopes to the deepest end, which is 10 ft deep. The width of the pool is 30 ft and the length is

Distance traveled by car - word problem, Distance Traveled by Car - word pr...

Distance Traveled by Car - word problem: It takes a man 4 hours to reach a destination 1325 miles from his home. He drives to the airport at an average speed of 50 miles per h

Evaluate the following exponentials limit, Evaluate following limits. ...

Evaluate following limits. Solution: Let's begin this one off in the similar manner as the first part. Let's take the limit of each piece. This time note that since our l

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