4. Suppose you are offered two similar jobs. The Aerospace Engineering Group offers you a starting salary of $50,000 per year with raises of $2,000 every year. The Bennington Corporation offers you an initial salary of $35,000 with a 15% raise every two years. a. One of these two companies is offering a salary formula that is linear and the other is offering a salary formula that is exponential. Which is which? How do you know? Te Aerospace Engineering 1Bilinear because if's salary S ncreasing by aconstant.ratc. the Benning ton i I "cor Poration sexpenential because it is not Mcreasing constauly. b. Find the salary formula for each company. Y=mxtb= y=2000x+50000 Aerospace Enyineering Bennington corporatien: 35000 (1-15) 9-つ500011+615) c. Use your technology to create a table for each company. Based on that table, estimate the number of years it takes before you earn the same salary at both companies. In the space below, reproduce the part of the table that supports your answer. d. Use your technology to create a graph for each company. Based on that graph, determine precisely the number of years it takes before you earn the same salary at both companies. In the space below, sketch the graph that supports your answer e. Which option would you choose? Why?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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4. Suppose you are offered two similar jobs. The Aerospace Engineering Group offers you a
starting salary of $50,000 per year with raises of $2,000 every year. The Bennington
Corporation offers you an initial salary of $35,000 with a 15% raise every two years.
a. One of these two companies is offering a salary formula that is linear and the other is offering
a salary formula that is exponential. Which is which? How do you know?
The Aerospace Engineerng isilinear because if's salary
S pncreasing by a constant.ratc. the Benningten
icor Poration B expenential becaue itis not
increasing cantautly.
b. Find the salary formula for each company.
Aerospace Enyineering y=mxtb =
Bennington Corporation:
りニ2000x+らc000
%3D
35000 (1-15)-
りいos0011+6-15)
c. Use your technology to create a table for each company. Based on that table, estimate the
number of years it takes before you earn the same salary at both companies. In the space below,
reproduce the part of the table that supports your answer.
d. Use your technology to create a graph for each company. Based on that graph, determine
precisely the number of years it takes before you earn the same salary at both companies. In the
space below, sketch the graph that supports your answer
e. Which option would you choose? Why?
140
Transcribed Image Text:4. Suppose you are offered two similar jobs. The Aerospace Engineering Group offers you a starting salary of $50,000 per year with raises of $2,000 every year. The Bennington Corporation offers you an initial salary of $35,000 with a 15% raise every two years. a. One of these two companies is offering a salary formula that is linear and the other is offering a salary formula that is exponential. Which is which? How do you know? The Aerospace Engineerng isilinear because if's salary S pncreasing by a constant.ratc. the Benningten icor Poration B expenential becaue itis not increasing cantautly. b. Find the salary formula for each company. Aerospace Enyineering y=mxtb = Bennington Corporation: りニ2000x+らc000 %3D 35000 (1-15)- りいos0011+6-15) c. Use your technology to create a table for each company. Based on that table, estimate the number of years it takes before you earn the same salary at both companies. In the space below, reproduce the part of the table that supports your answer. d. Use your technology to create a graph for each company. Based on that graph, determine precisely the number of years it takes before you earn the same salary at both companies. In the space below, sketch the graph that supports your answer e. Which option would you choose? Why? 140
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