Question

PLZ HELP IM REALLY CONFUSED WILL MARK BRAINLIEST

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

Answer:

${1.2}^{n} \times 2.5$

Step-by-step explanation:

it's simple my dear friend.

first, she runs 3 miles per week.

so in

${a}^{(n - 1)} \times b$

b is 3. the initial value.

increasement by 20% means she runs 1.2 times than before.

$\frac{100 + 20}{100} = \frac{120}{100} = \frac{12}{10} = 1.2$

then a=1.2

so we have now:

${1.2}^{(n - 1)} \times 3 \\ = {1.2}^{n} \times \frac{3}{1.2} \\ = {1.2}^{n} \times 2.5$

and we got it!