The revenue (in dollars) from the sale of x car seats for infants is given by the following function. 2 R(x)=32x-0.010x 0≤x≤3200 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, interpret the results. (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (Round to one decimal place as needed.) (B) R'(x)= (C) R(1000)= R'(1000) = Interpret these results. Choose the correct answer below. W OA. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing at a rate of R(1000) dollars per seat. B. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is increasing at a rate of R'(1000) dollars per seat. OC. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
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The revenue (in dollars) from the sale of x car seats for infants is given by the following function.
R(x)=32x-0.010x
0≤x≤3200
(A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats.
(B) Use the four-step process to find R'(x).
(C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, a
interpret the results.
(A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats.
(Round to one decimal place as needed.)
(B) R'(x)=
(C) R(1000)=
C...
3¹
R'(1000)=
Interpret these results. Choose the correct answer below.
OA. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing
at a rate of R(1000) dollars per seat.
OB. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is increasing
at a rate of R'(1000) dollars per seat.
OC. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing
DIL
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Transcribed Image Text:The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x)=32x-0.010x 0≤x≤3200 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, a interpret the results. (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (Round to one decimal place as needed.) (B) R'(x)= (C) R(1000)= C... 3¹ R'(1000)= Interpret these results. Choose the correct answer below. OA. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing at a rate of R(1000) dollars per seat. OB. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is increasing at a rate of R'(1000) dollars per seat. OC. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing DIL P Pearson Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact U PrtScn Time Remaining: 00:57:24 F8 Home F9 End Next F10 86°F Sunny PgUp
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