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.

1. a. What is James’s new texting speed if he practices for only 1 month? __________
b. What is James’s new texting speed if he practices for 2 months? ____________
c. What is his new texting speed if he practices for 3 months? _____________
d. Write an algebraic equation that gives James’s texting speed s for m months of
practice.

Answer 1

A: His texting speed after one month of practice would be 2 1/2 characters per second. (2 + 1/2)

B: His texting speed after two months of practice would be 3 characters per second. (2 1/2 + 1/2)

C: His texting speed after three months of practice would be 3 1/2 characters per second. 3 + 1/2)

D: Algebraic Expression: s = 1/2m + 2