Digital Genius manufactures a cell phone charging pad that can fully charge any cell phone that is placed on it in 15 minutes. The analytics department determined that at a price of $105.00 each, the demand would be 3 thousand pads, and at $55.00 each, the demand would be 13 thousand pads. Based on the assumption that a linear relationship exists between price and demand, the price-demand equation is given by

where x is the number of thousands of pads in demand. At what price point should they sell the pads to have a demand of 11 thousand pads?

Question

Digital Genius manufactures a cell phone charging pad that can fully charge any cell phone that is placed on it in 15 minutes. The analytics department determined that at a price of $105.00 each, the demand would be 3 thousand pads, and at $55.00 each, the demand would be 13 thousand pads. Based on the assumption that a linear relationship exists between price and demand, the price-demand equation is given by

where x is the number of thousands of pads in demand. At what price point should they sell the pads to have a demand of 11 thousand pads?

Stickybuns · Answer

attachment

Stickybuns · Answer

$65.00
  
$55.00
  
$21.80
  
$24.00

Shadow · Answer

That image is distorted. Can you draw it or use the equation tool?

Shadow · Answer

@Stickybuns

Stickybuns · Answer

yeh$$p(x)=-5x+120,$$

Shadow · Answer

Well at $55 the demand is 13,000, and at $105 the demand is 3,000.

Therefore if you want to slightly decrease the demand to 11,000, you would want to increase the price point from $55 to some higher number in value. There is only one answer choice that is higher than $55.

Shadow · Answer

@Stickybuns Does that make sense to you?

Stickybuns · Answer

Yes sorry in distracted im watching deep sea stuff XD

Shadow · Answer

Same, I'm watching The Expanse (:

Stickybuns · Answer

noice

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