Question

Regina is beginning a training program to prepare for a race. In week 1, she will run 3 miles in each workout. Each week thereafter, she plans to increase the distance of her runs by 20%. Write an equation to show the number of miles Regina plans to run during her workouts each week. Use the variable "n" to represent the week number.

Answer 1

Mₙ= 3*1.2⁽ⁿ⁻¹⁾

Explanation:

week 1- 3 miles

week 2 - +20% ⇒ 3*1.2

week 3- +20% ⇒ 3*1.2*1.2

...

week n- +20% ⇒ 3*1.2⁽ⁿ⁻¹⁾

Mₙ= 3*1.2⁽ⁿ⁻¹⁾

Mₙ - miles on week n