Nancy's Lawn Care specializes in residential lawn cutting and fertilizing. Nancy, the owner, has tracked his income and expenses. She has determined that her profit can be represented by the expression $5A, where A is the area of a lawn in square metres. The time, in hours, that it takes her to maintain a lawn is approximately 0.054 + 0.25. a) Write a rational expression for Nancy's profit per hour. b) Evaluate the rational expression you wrote in part a) for a lawn with an area of 90 m².

Nancy's Lawn Care specializes in residential lawn cutting and fertilizing. Nancy, the owner, has tracked his income and expenses. She has determined that her profit can be represented by the expression $5A, where A is the area of a lawn in square metres. The time, in hours, that it takes her to maintain a lawn is approximately 0.054 + 0.25. a) Write a rational expression for Nancy's profit per hour. b) Evaluate the rational expression you wrote in part a) for a lawn with an area of 90 m².

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter8: Rational Expressions And Equations

Section8.3: Add And Subtract Rational Expressions With A Common Denominator

Problem 165E: Sarah ran 8 miles and then biked 24 miles. Her biking speed is 4 mph faster than her running speed....

See similar textbooks

Similar questions

Rewrite as equivalent rational expressions with denominator (x+3)(x4)(x+4) : 2x2x12 , 1x216 .
Find the domain of the expression x2+1x2x2
(a) Find the LCD for the expressions 3xx23x+10,5x2+3x+2 (b) rewrite them as equivalent rational expressions with the lowest common denominator.
Find the domain of R(x)=2x210x4x216x20 .
Evaluate x+3x+3 for (a) x3 and (b) x3 .
If Pete can paint a wall in p hours, then in one hour he can paint 1p of the wall. It would take Penelope 3 hours longer than Pete to paint the wall, so in one hour she can paint 1p+3 of the wall. Add the rational expressions 1p+1p+3 to get an expression for the part of the wall Pete and Penelope would paint in one hour if they worked together.
Sarah ran 8 miles and then biked 24 miles. Her biking speed is 4 mph faster than her running speed. If r represents Sarah’s speed when she ran, then her running time is modeled by the expression 8r and her biking time is modeled by the expression 24r+4 . Add the rational expressions 8r+24r+4 to get an expression for the total amount of time Sarah ran and biked.
Divide 10x2+x122x and explain with words how you get each term of the quotient.