Mathematics, 27.10.2020 22:40 hbked23

1. A basketball player made 15 out of 50 free throws she attempted which is 30%. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall successful baskets divided by attempts or percent of successful free throws to 50%. (a) Write an equation to represent this situation.
(b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 50%?

1 pt for correct answer to part (b), 4 pts for showing steps you took to get the correct answer and showing the formula with variable x that you used in part (a).
Note: correct answer to part (a) has only one variable, the variable x. Need to set up a ratio and cross multiply to solve for x.
X represents how many more consecutive tries she needs to make in a row
to raise her overall average up to 50%

Answers: 1

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Answers

Answer from: sarath30

The percentage of successful trials in an experiment is computed as

number of successful trails

total number of trails

The fraction

is usually expressed on a scale of hundered:

100

Answer and Explanation:

)

0.85

)

Given:

A basketball player made 12 out 15 free throws

She wants to make successive free throws to increase her percentage to

out of

the success percentage of the player is:

100

In order to increase her percentage to

, let x be the number of free throws she has to make consecutively.

She makes x out of x free throws, therefore, her successful attempts increase to

and her number of attempts increase to

The percentage of successful free throws now will be

100

This desired success percentage is 85%, that is

, therefore,

100

0.85

(

)

The situation is represented by equation (1).

The number of consecutive free throws (x) the player has to make is obtained by solving (1):

0.85

(

)

0.85

(

)

12.75

0.85

0.15

0.75

0.15

Therefore, the player has to make

consecutive free throws.

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