Katie makes 70% of her free throws. How many consecutive shots would she have to make to reach 75%
depends on how many she already has made.
If she has made n shots so far, then we need x such that
.70n + 1.00x = .75(n+x)
lol what
c=n/5
To find out how many consecutive shots Katie would have to make to reach 75% free throw percentage, we can set up an equation.
Let's assume Katie has made x consecutive free throws to reach the target percentage of 75%. Since she makes 70% of her free throws, she also misses 30% of them.
Out of the x consecutive shots she made, 70% of them are made successfully, which can be expressed as 0.70x. Therefore, the number of shots she missed is 30% of x, or 0.30x.
So, the equation can be written as:
0.70x = 0.75(x + 1)
In the equation, x represents the number of consecutive shots Katie made, and (x + 1) represents the total number of shots she attempted. This is because she has already made x shots and wants to reach a target free throw percentage of 75%, which means her total number of shots will be x + 1.
Now, let's solve the equation and find the value of x.
0.70x = 0.75x + 0.75
0.70x - 0.75x = 0.75
-0.05x = 0.75
x = 0.75 / -0.05
x = -15
Since the value of x is negative, it does not make sense in this context. It means that Katie cannot reach a 75% free throw percentage with consecutive shots.