Question

James wants to compete in the international speed texting competition next year where participants compete on text speed and accuracy. James’s current text speed is 2 characters per second. James has found that his texting speed increases at a rate of 1⁄2 a character per second for each month that he practices.

Answer 1

8 characters a second

Explanation:

Since we know that the competition is a year away, and his speed improves by 1/2 character a month, make a chart to show where he'll be 1 month from now, then 2 and so on...

Month 0 (Baseline) - 2 cas (characters a second)

Month 1 -
`2(1)/(2)` cas

Month 2 - 3 cas

Month 3 -
`3(1)/(2)` cas

Month 4 - 4 cas

Month 5 -
`4(1)/(2)` cas

Month 6 - 5 cas

Month 7 -
`5(1)/(2)` cas

Month 8 - 6 cas

Month 9 -
`6(1)/(2)` cas

Month 10 - 7 cas

Month 11 -
`7(1)/(2)` cas

Month 12 8 cas

If the current rate continues, James will be able to type 8 characters a second by the time the competition comes.

I'm always happy to help :)