1. A formula in the form $ y = mx + 22,000 $ models the average retail price, $ y $, of a new car $ x $ years after 2000. Would you expect $ m $ to be positive, negative, or zero? Explain your answer.2. The number of electric scooters $ e $ that a factory can produce per day is a function of the number of hours $ h $ it operates and is given by $ e(h) = 250h $ for $ 0 \leq h \leq 10 $. The daily cost $ c $ to manufacture $ e $ electric scooters is given by the function $ c(e) = 0.05e^2 + 60e + 1000 $. Evaluate $ (c \circ e)(10) $, and write a sentence that explains the meaning of your answer.(Your initial response is due in the Discussion Board by the end of the day on Wednesday, September 30.)

Since you have posted multiple questions, we will answer the first question. If you want the…

Answered: A formula in the form y = mx+22,000…

A formula in the form y = mx+22,000 models the average retail price, y, of a new car x years after 2000. Would you expect m to be positive, negative, or zero? Explain your answer.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

1. A formula in the form $ y = mx + 22,000 $ models the average retail price, $ y $, of a new car $ x $ years after 2000. Would you expect $ m $ to be positive, negative, or zero? Explain your answer.

2. The number of electric scooters $ e $ that a factory can produce per day is a function of the number of hours $ h $ it operates and is given by $ e(h) = 250h $ for $ 0 \leq h \leq 10 $. The daily cost $ c $ to manufacture $ e $ electric scooters is given by the function $ c(e) = 0.05e^2 + 60e + 1000 $. Evaluate $ (c \circ e)(10) $, and write a sentence that explains the meaning of your answer.

(Your initial response is due in the Discussion Board by the end of the day on Wednesday, September 30.)

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