Answer:
8,000 points.
Step-by-step 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:
[tex]x+(\frac{75}{100}*x)=14,000[/tex]
[tex]x+0.75x=14,000[/tex]
[tex]1.75x=14,000[/tex]
Upon dividing both sides of our equation by 1.75 we will get,
[tex]\frac{1.75x}{1.75}=\frac{14,000}{1.75}[/tex]
[tex]x=8,000[/tex]
Therefore, Melodie have 8,000 points on Khan Academy last week.