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: $[ \_\_\_ ]
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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