1. a. what is james’s new texting speed if he practices for 1 month?
what is james's new texting speed if he practices for 2 months?
what is james’s new texting speed if he practices for 3 months?
write an algebraic equation that gives james’s texting speed s for m months of practice.
2. a. solve the equation from question 1d to determine how many months of practice it will take before james’s texting speed reaches 8 characters per second.

1. a. 2.5 character per sec

b. 3 character per sec

c. 3.5 character per sec

d.

2. 12 months

Explanation :

Here, the current speed of James = 2 character per second,

∵ His speed is increasing by character per second in each month,

1. a. So, his speed after one month = = 2 + 0.5 = 2.5 character per sec

b. After 2 months = = 2 + 1 = 3 character per sec

c. After 3 months = = 2 + 1.5 = 3.5 character per sec

d. Similarly, his speed after m months ( say s ),

Which is the required equation.

2. If s = 8 characters per second,

Hence, after 12 months his texting speed will reach 8 characters per second.