Suppose that I wrote 150 words of my English paper yesterday and today I begin typing at a rate of 35 words per minute. Is the total number of words typed a linear function of the number of minutes since I began typing today?

Respuesta :

Answer: Yes this is a linear function

Explanation:

x = number of minutes

35x = number of extra words after x minutes

This is because you add on 35 words per minute (wpm). So for instance, after 10 minutes, you add on 35x = 35*10 = 350 more words.

This is on top of the initial 150 words you already wrote yesterday. So we add the 35x onto the 150 to get the expression 35x+150. This represents the number of words total from yesterday and today combined.

Saying y = 35x+150 shows we have a linear function of the form y = mx+b

m = 35 = slope

b = 150 = y intercept

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