Describe the relationship between the two quantities. Distance traveled by car; Amount of gas in the car.

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

6 0

Amount of gas in the car helps the car go and reach its destinations.

icang [17]3 years ago

6 0

Answer:

Inverse relation between distance traveled and amount of gas in the car

Step-by-step explanation:

Because amount of gas in the decreases as distance traveled increases.

Suppose you have 2 liter fuel in the car and as you start the car for travelling so distance increases and fuel decreases.

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Let's analyze Hannah's work, step-by-step, to see if she made any mistakes.

In Step 1, Hannah wrote $\dfrac{d}{dx} (-3+8x)$ as the sum of two separate derivatives $\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x)$ using the sum rule.

This step is perfectly fine.

In Step 2, $\dfrac{d}{dx}(8x)$ was kept as it is, and $\dfrac{d}{dx}(-3)$ was rewritten as $0$ using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine.

In Step 3, $\dfrac{d}{dx} (8x)$ was rewritten as $\dfrac{d}{dx}(8) \dfrac{d}{dx}(x)$ supposedly using the constant multiple rule.

The problem is that according to the constant multiple rule, $\dfrac{d}{dx}(8x)
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Therefore, Hannah made a mistake in this step.

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