James wants to compete in the international speed texting competition next year where participants compete on text speed and accuracy. 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 new texting speed if he practices for only for 1 month?
b. what is james new texting speed if he practices for 2 months?
c. what is his new texting speed if he practices for 3 months
write an algebraic equation that gives james 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 texting speed reaches 8 characters per second.
b. explain the steps to solve your equation from question 2a.
3. a. if lydia wants to text at least 8 characters per second like james then equation 10r + 4 = 8 could be used to model this situation. solve this equation for r.
b. explain what the variable r represents in the equation given in question 3.
4. consider the equation 8x + 5 = 37. write a real-life scenario that this equation could model.