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USPshnik [31]
2 years ago
6

Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 3, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d

x/dt when x = 40. dx dt =
Mathematics
1 answer:
qwelly [4]2 years ago
3 0

Answer:

Step-by-step explanation:

If y = 2x + 1, then dy/dt = 2(dx/dt).

If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x.  y = 81.

(a) if dx/dt = 3, find dy/dt when x = 4:

       Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.

(b) if dy/dt = 2, find dx/dt when x = 40:

        Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.

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Step-by-step explanation:

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Answer: <u>Madison can travel 2.2 miles less than Anthony on one gallon of gas.</u>

Step-by-step explanation:

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Lets find how much Madison travels on 1 gallon of gas.

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Therefore, Madison travels 39.1 miles on one gallon of gas.

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This means that Anthony can travel 2.2 miles more than Madison.


For your answer, this means that:

<u>Madison can travel 2.2 miles less than Anthony on one gallon of gas</u>

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<em>Hope this helped and have a nice day :)</em>

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