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

Characteristics and limitations of moving average, Characteristics and Limi...

Characteristics and Limitations of moving average Characteristics of moving average 1) The more the number of periods in the moving average, the greater the smoothing

1trig, how do you find the tan, sin, and cos.

how do you find the tan, sin, and cos.

Prove the arithmetic progressions equation, Prove that a m + n + a m - n ...

Prove that a m + n + a m - n  =2a m Ans:    a m + n = a 1 + (m + n - 1) d a m-n = a 1 + (m - n -1) d a m = a 1 + (m-1) d Add 1 & 2 a m+n + a m-n  =

Divison, what is 24 diveded by 3

what is 24 diveded by 3

Finding the LCM, what is the LCM of 18, 56 and 104 show working

what is the LCM of 18, 56 and 104 show working

Repeated roots, Under this section we will be looking at the previous case ...

Under this section we will be looking at the previous case for the constant coefficient and linear and homogeneous second order differential equations.  In this case we need soluti

Find the cost price of the toy, A dealer sells a toy for Rs.24 and gains as...

A dealer sells a toy for Rs.24 and gains as much percent as the cost price of the toy. Find the cost price of the toy. Ans:    Let the C.P be x ∴Gain = x % ⇒ Gain = x

Area between two curves, Area between Two Curves We'll start with the ...

Area between Two Curves We'll start with the formula for finding the area among y = f(x) and y = g(x) on the interval [a,b].  We will also suppose that f(x) ≥ g(x) on [a,b].

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