1c.What is his new texting speed if he practices for 3 months

Answer:
[tex]3\frac{1}{2}[/tex] character per second.
Step-by-step explanation:
James current texting speed = 2 characters per second
Increase in texting speed with practice = [tex]\frac{1}{2}[/tex] a character per second per month.
If he practices for x months then the expression that will represent his typing speed = 2 + [tex]\frac{1}{2}\times x[/tex]
If x = 3 months then his typing speed after 3 months will be
Speed = [tex]2+\frac{3}{2}[/tex]
= [tex]\frac{4+3}{2}[/tex]
= [tex]\frac{7}{2}[/tex]
= [tex]3\frac{1}{2}[/tex] character per second.
Therefore, after 3 months of practice his typing speed will be [tex]3\frac{1}{2}[/tex] character per second.