?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.

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.

Answer 1

#7x+8y>=336#

Let

#x# be the number of minutes she runs, and

#y# be the number of minutes she swims.

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

#7x+8y#

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

#7x+8y>=336#

Solving this for #y# we have

#y>=42-(7x)/8#

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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Answer 2

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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Answer from HIX Tutor

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.

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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