Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If nebi types at a constant rate, write a linear equation to represent the number of words w that nebi types m minutes after starting the timer

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Answer:

[tex]w=250+50m[/tex]

Step-by-step explanation:

Number words Nebi has typed = 250

t = Duration of typing = 3 minutes

Number of words typed in 3 minutes = 150

Rate of typing in 3 minutes

[tex]\dfrac{150}{3}=50\ \text{words/minute}[/tex]

So the linear equation representing the situation would be

[tex]w=250+50m[/tex]

Where

w = Number of words

m = Number of minutes after starting the timer

The linear equation to represent the number of words w that nebi types m minutes after starting the timer is w = 250 + 50m

Given:

Words already typed = 250 words.

Words typed in 3 minutes = 150 words

Words typed per minute = 150 words / 3 minutes

= 50 words per minute

w = Total words typed

m = number of minutes

The equation:

Total words typed = Words already typed + (Words typed per minute × number of minutes )

w = 250 + (50 × m)

w = 250 + 50m

Therefore, linear equation to represent the number of words w that nebi types m minutes after starting the timer is w = 250 + 50m

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