Question

The store Clothes-4-You keeps data on their sales. These data points represent their coat sales, where x is the average outside temperature and y is the number of coats sold. (3, 94), (12, 91), (16, 83), (21, 93), (27, 82), (29, 69), (40, 71), (43, 63), (60, 38), (52, 53) What is the best estimate for the number of coats sold when the outside temperature is 35°F?

Answer 1

Answer:

It should be 70 coats.

Step-by-step explanation:

Answer 2

The best estimate for the number of coats is 70 when the outside temperature is 35°F.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Let x is the average outside temperature and

y is the number of coats sold.

The data on their sales are (3, 94), (12, 91), (16, 83), (21, 93), (27, 82), (29, 69), (40, 71), (43, 63), (60, 38), (52, 53).

The outside temperature is 35°F. It lies in the data between (29, 69) and (40, 71).

Now, take the average of the values to get the number of coats.

Outside temperature = $\frac{29+40}{2}$

⇒ $\frac{69}{2}=34.5$ ≈ $35$

Thus for outside temperature 35°F, the number of coats = $\frac{69+71}{2}$

⇒ $\frac{140}{2} =70$

Hence we can conclude that the best estimate for the number of coats is 70 when the outside temperature is 35°F.

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