Question

Mikayla is training for a half-marathon. At the beginning of her training, she is able to run 2 miles without stopping. Her goal is to increase her distance by three quarters of a mile each week. a) Write an equation to represent the number of miles Mikayla is able to run after each week. Define your variables.

Answer 1

Alright, lets get started.

At the beginning of her training, she is able to run 2 miles without stopping means 2 will be in the addition when we will write the equation for her running miles.

Her goal is to increase her distance by three quarters of a mile each week.

Means in first week, she will add the distance = $\frac{3}{4}$ miles

Suppose she runs x weeks, so shee will add distance = $\frac{3}{4}x$

So, suppose she runs total number of miles = d, then

$d = 2 + \frac{3}{4}x$

Where d is total numer of miles she runs

x is number of weeks    :   Answer

Hope it will help :)