Question

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

Answer 1

The linear equation representing the number of words Nebi has typed after m minutes is w = 50m + 250, with a typing rate of 50 words per minute.

Step-by-step explanation:

To write a linear equation representing the number of words w that Nebi types m minutes after starting the timer, we need to know the rate at which he types and his initial word count. Nebi types 150 words in 3 minutes, so his typing rate is 150 words / 3 minutes = 50 words per minute. Since he started with 250 words already typed, this count is the y-intercept of our linear equation.

The general form of a linear equation is y = mx + b, where m is the slope (rate of change) and b is the y-intercept. Applying Nebi's typing rate and initial word count, our equation becomes:

w = 50m + 250

Here, w represents the total number of words typed after m minutes.