To get a job as a receptionist you have to be able to type 60 words per minute. Trevor wanted to work as a receptionist for the summer so he was working on building up his typing speed. He made the following table to track his progress.

Week 0 20 words/min
Week 1 26 words/min
Week 2 32 words/min
Week 3 38 words/min

If the pattern of progress shown in the table continues, how many words per minute will Trevor be able to type in 5 weeks?

He will be able to type 56 words

after w weeks, his speed is

20+6w

now plug in w=5

Sorry, I meant How many words per minute will be able to type in 6 weeks

56

Thank you

To find out how many words per minute Trevor will be able to type in 5 weeks, we need to identify the pattern of progress in his typing speed and use it to determine his future speed.

Looking at the table, we notice that Trevor's typing speed is increasing by 6 words per week. For example, from Week 0 to Week 1, his speed increases by 6 words per minute (from 20 to 26). This pattern continues as he progresses.

So, for each additional week, Trevor's typing speed increases by 6 words per minute.

To find out his typing speed in 5 weeks, we can simply multiply the number of additional weeks (5) by the increase in speed per week (6) and add it to his current speed:

38 words/min (Week 3) + (5 weeks * 6 words/week) = 38 + 30 = 68 words/minute.

Therefore, Trevor will be able to type 68 words per minute in 5 weeks.