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-BARSIC- [3]
3 years ago
13

Samri and Vinita both have cell phones. Samri pays $75.89 per month plus $0.12 per text message to use his cellphone. Vinita pay

s $27.41 per month plus $0.36 per text message to use her cellphone. One month, they paid the sam amount for cellphone service. How many text messages did each send?
Mathematics
2 answers:
Sedaia [141]3 years ago
3 0

75.89 + 0.12x = 27.41 + 0.36x

75.89 - 27.41 = 0.24x

48.48 = 0.24x

x = 48.48 / 0.24

x = 202

Each sent 202 text messages



s344n2d4d5 [400]3 years ago
3 0
Each person sent 202 text messages
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Step-by-step explanation:

Given a demand function that gives <em>q</em> in terms of <em>p</em>, the elasticity of demand is

E=|\frac{p}{q}\cdot \frac{dq}{dp}  |

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We have the following demand equation D(p)=-\frac{3}{4}p+29; p = 9

Applying the above definition of elasticity of demand we get:

E(p)=\frac{p}{q}\cdot \frac{dq}{dp}

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\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{d}{dp}\left(\frac{3}{4}p\right)+\frac{d}{dp}\left(29\right)\\\\\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{3}{4}

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Demand is inelastic at p = 9 and therefore revenue will increase with an increase in price.

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