A graphic design firm placed two orders for computers from Apple Inc. For their web design department, they purchased 2 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $10,895. For their graphic arts department they purchased 4 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $14,293.t Assume the prices of the computers did not change between orders. (a) Create a system of equations to model this situation. Be sure to identify what your variables represent. (Let m represent the price in dollars of a MacBook Pro laptop and q represent the price in dollars of a Mac Pro Quad-core desktop.) web design department order graphic arts department order (b) Solve the system of equations. How much did each type of computer cost? MacBook Pro laptop Mac Pro Quad-core desktop $
A graphic design firm placed two orders for computers from Apple Inc. For their web design department, they purchased 2 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $10,895. For their graphic arts department they purchased 4 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $14,293.t Assume the prices of the computers did not change between orders. (a) Create a system of equations to model this situation. Be sure to identify what your variables represent. (Let m represent the price in dollars of a MacBook Pro laptop and q represent the price in dollars of a Mac Pro Quad-core desktop.) web design department order graphic arts department order (b) Solve the system of equations. How much did each type of computer cost? MacBook Pro laptop Mac Pro Quad-core desktop $
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![A graphic design firm placed two orders for computers from Apple Inc. For their web design department, they purchased 2 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $10,895. For their graphic arts department, they purchased 4 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $14,293. Assume the prices of the computers did not change between orders.
(a) Create a system of equations to model this situation. Be sure to identify what your variables represent. (Let \( m \) represent the price in dollars of a MacBook Pro laptop and \( q \) represent the price in dollars of a Mac Pro Quad-core desktop.)
- Web design department order:
\[
2m + 3q = 10,895
\]
- Graphic arts department order:
\[
4m + 3q = 14,293
\]
(b) Solve the system of equations. How much did each type of computer cost?
- MacBook Pro laptop: $[ \_\_\_ ]
- Mac Pro Quad-core desktop: $[ \_\_\_ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cd8cd77-1ae5-496b-bf0a-58ccf706f8c4%2F0e5529ad-ba49-4009-ad54-fa2fa0514efa%2Fuo7xz6s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A graphic design firm placed two orders for computers from Apple Inc. For their web design department, they purchased 2 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $10,895. For their graphic arts department, they purchased 4 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $14,293. Assume the prices of the computers did not change between orders.
(a) Create a system of equations to model this situation. Be sure to identify what your variables represent. (Let \( m \) represent the price in dollars of a MacBook Pro laptop and \( q \) represent the price in dollars of a Mac Pro Quad-core desktop.)
- Web design department order:
\[
2m + 3q = 10,895
\]
- Graphic arts department order:
\[
4m + 3q = 14,293
\]
(b) Solve the system of equations. How much did each type of computer cost?
- MacBook Pro laptop: $[ \_\_\_ ]
- Mac Pro Quad-core desktop: $[ \_\_\_ ]
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