Alejandro is selling HDMI cables on eBay, and istrying to determine the best price to sell at. Forthe last 10 weeks, he has adjusted his priceslightly each week and tracked the number ofcables he sold. He plotted the results, and drew aline he feels fits the data well.3002502001501005033.253.53.7544.2:Price (8)a) The line of best fit passes through the points(3.50, 260) and (4.75, 250). Find an equation forthe line.Use variables: p for price in dollars, and Q forquantity of cables sold.b) Using this model, predict the number of cablesAlejandro would sell at a price of $3.65, to thenearest whole cable.cablesQuantity Sold

Alejandro is selling HDMI cables on eBay, and is trying to determine the best price to sell at. For the last 10 weeks, he has adjusted his price slightly each week and tracked the number of cables he sold. He plotted the results, and drew a line he feels fits the data well. 300 250 200 150 100 50 3 3.25 3.5 3.75 4 4.2: Price ($) a) The line of best fit passes through the points (3.50, 260) and (4.75, 250). Find an equation for the line. Use variables: p for price in dollars, and Q for quantity of cables sold. b) Using this model, predict the number of cables Alejandro would sell at a price of $3.65, to the nearest whole cable. cables Quantity Sold

Alejandro is selling HDMI cables on eBay, and is trying to determine the best price to sell at. For the last 10 weeks, he has adjusted his price slightly each week and tracked the number of cables he sold. He plotted the results, and drew a line he feels fits the data well. 300 250 200 150 100 50 3 3.25 3.5 3.75 4 4.2: Price ($) a) The line of best fit passes through the points (3.50, 260) and (4.75, 250). Find an equation for the line. Use variables: p for price in dollars, and Q for quantity of cables sold. b) Using this model, predict the number of cables Alejandro would sell at a price of $3.65, to the nearest whole cable. cables Quantity Sold

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

Alejandro is selling HDMI cables on eBay, and is
trying to determine the best price to sell at. For
the last 10 weeks, he has adjusted his price
slightly each week and tracked the number of
cables he sold. He plotted the results, and drew a
line he feels fits the data well.
300
250
200
150
100
50
3
3.25
3.5
3.75
4
4.2:
Price (8)
a) The line of best fit passes through the points
(3.50, 260) and (4.75, 250). Find an equation for
the line.
Use variables: p for price in dollars, and Q for
quantity of cables sold.
b) Using this model, predict the number of cables
Alejandro would sell at a price of $3.65, to the
nearest whole cable.
cables
Quantity Sold

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