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.

Question

Mathematics

Raelynn Armstrong

11 February, 18:46

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.

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Adonis Solis · Answer 1

Mₙ = 3*1.2⁽ⁿ⁻¹⁾

Step-by-step 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