# If #7# apples cost #y# cents, how many can you buy for #x# dollars?

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(a) #(7y)/x# ; (b) #(7x)/y# ; (c) #(700y)/x# ; (d) #(700x)/y# .

(a)

(d) i.e.

Hence answer is (d).

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option d

If you find it difficult to work with variables, make an easy example first. Once you know what you did with the numbers, do the same with the variables.

If 5 apples cost 50 cents, how many can you buy for 3 dollars?

What did we do?

#=(700x)/y

# apples

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To find out how many apples you can buy for ( x ) dollars, you first need to determine the cost of one apple.

Since 7 apples cost ( y ) cents, the cost of one apple is ( \frac{y}{7} ) cents.

To convert the cost of one apple to dollars, you divide the cost in cents by 100 (since there are 100 cents in a dollar), giving you ( \frac{y}{700} ) dollars per apple.

Now, if you have ( x ) dollars to spend, you divide ( x ) by the cost of one apple in dollars to find out how many apples you can buy.

So, the number of apples you can buy for ( x ) dollars is ( \frac{x}{\frac{y}{700}} = \frac{700x}{y} ).

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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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