Grayson is deciding between two landscaping companies for his place of business. Company A charges $35 per hour and a $250 equipment fee. Company B charges $45 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for t hours of landscaping, and let B represent the amount Company B would charge for t hours of landscaping. Write an equation for each situation, in terms of t, and determine the interval of hours, t, for which Company A is cheaper than Company B.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 47PS
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Grayson is deciding between two landscaping companies for his place of business.
Company A charges $35 per hour and a $250 equipment fee. Company B charges $45
per hour and a $150 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge for t hours of landscaping. Write an equation for each situation, in terms of t,
and determine the interval of hours, t, for which Company A is cheaper than
Company B.
A =
B =
Company A is cheaper than Company B when t
Transcribed Image Text:Grayson is deciding between two landscaping companies for his place of business. Company A charges $35 per hour and a $250 equipment fee. Company B charges $45 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for t hours of landscaping, and let B represent the amount Company B would charge for t hours of landscaping. Write an equation for each situation, in terms of t, and determine the interval of hours, t, for which Company A is cheaper than Company B. A = B = Company A is cheaper than Company B when t
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