Answer:
8,000 points.
Explanation:
Let x be the number of points Melodie have on Khan Academy last week.
We have been given that Melodie has increased her points by 75% in a week. She's at 14,000 points now.
We need to figure out x such that x plus 75% of x equals 14,000. We can represent this information in an equation as:
![x+((75)/(100)*x)=14,000](https://img.qammunity.org/2020/formulas/mathematics/high-school/64llbhqgeq6wvnx6dhe68dwo04u7zo5rl8.png)
![x+0.75x=14,000](https://img.qammunity.org/2020/formulas/mathematics/high-school/2jbf2pu9iwry9a8664meg393j085p2wlhd.png)
![1.75x=14,000](https://img.qammunity.org/2020/formulas/mathematics/high-school/9gej5363btrh4i3u98vw1h7gktdvdo1oi7.png)
Upon dividing both sides of our equation by 1.75 we will get,
![(1.75x)/(1.75)=(14,000)/(1.75)](https://img.qammunity.org/2020/formulas/mathematics/high-school/mlwezh9bb1xtjato2gj2kvxwwxzyt6t07c.png)
![x=8,000](https://img.qammunity.org/2020/formulas/mathematics/high-school/xybq113i8fzemolww5471wb0082ka0d580.png)
Therefore, Melodie have 8,000 points on Khan Academy last week.