# ?A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Write an inequality that describes the situation.

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Let x represent the number of minutes running and y the number of minutes swimming. Because x and y must be positive, limit the boarders to quadrant I only.

Let x represent the number of minutes running and y the number of minutes swimming. Because x and y must be positive, limit the boarders to quadrant I only.

Let

Because she burns 7 calories/minute while running and 8 calories/minute while swimming the expression for the total number of calories she burns is

We want this quantity to be at least 336, so our inequality is

Solving this for

The advantage of putting the inequality in this form is that it makes it easier to plot. See the plot below.

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Let ( r ) represent the number of minutes she runs and ( s ) represent the number of minutes she swims.

The total number of calories burned can be calculated using the equation: [ 7r + 8s \geq 336 ]

This is the inequality that describes the situation.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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