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arlik [135]
4 years ago
7

Isabel’s car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas how many miles can Isabel drive on a full tank o

f gas?
Mathematics
1 answer:
bagirrra123 [75]4 years ago
6 0

Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas

<em><u>Solution:</u></em>

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find: Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.1 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

1 \times x = 15.1 \times 33.5\\\\x = 505.85

Thus Isabel can drive 505.85 miles on a full tank of gas

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Step-by-step explanation:

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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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