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andrezito [222]
3 years ago
14

The cost of renting a car for a day is given by the linear function C(x)=0.09x +27, where C(x) is in dollars and x is the number

of miles driven. Find the cost of driving the car 130 miles
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

C(x) = 38.7

Step-by-step explanation:

C(x)= 0.09(130)+27

C(x)= 11.7+27

C(x)= 38.7

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graph C

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3 years ago
A tank initially contains 40 ounces of salt mixed in 100 gallons of water. a solution containing 4 oz of salt per gallon is then
stellarik [79]
Let A(t) be the amount of salt in the tank at time t. We're given that A(0)=40. The rate at which this amount changes is given by

A'(t)=\dfrac{5\text{ gal}}{1\text{ min}}\cdot\dfrac{4\text{ oz}}{1\text{ gal}}-\dfrac{5\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ oz}}{100+(5-5)t\text{ gal}}

A'(t)+\dfrac{A(t)}{20}=20

e^{t/20}A'(t)+e^{t/20}\dfrac{A(t)}{20}=20e^{t/20}

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