Question

So far, Marta has correctly predicted the winner of 6 out of 13 football games. She wants to know how many consecutive games she would have to predict correctly to raise the percent of correct predictions to 65%.

Question - Write an equation to represent this situation.

Answer 1

To find the number of consecutive games Marta needs to predict correctly to achieve a 65% success rate, we use the equation (6+x)/(13+x) = 0.65, where x is the number of additional games she needs to predict correctly.

Step-by-step explanation:

Marta has predicted 6 out of 13 football games correctly so far. To determine how many consecutive games she would have to predict correctly to raise her successful prediction rate to 65%, we can set up an equation. Let x be the number of additional consecutive wins she needs. Marta's current correct predictions are 6, and the total games predicted are 13. After predicting x more games correctly, her total correct predictions would be 6+x and the total games predicted would be 13+x.

To find out the value of x needed for 65% correct predictions, we can write the equation:

(6+x)/(13+x) = 0.65

Solving the equation will provide the value of x, which is the number of consecutive correct predictions Marta needs to achieve a 65% prediction rate.