Question

swimming christy’s best time in the 50-yard freestyle is 32.56 seconds. to qualify for the regional meet, she needs to have a time of 25.99 seconds or less. how much faster does christy need to swim to qualify? the variable x represents select choice. the situation can be represented by the inequality select choice. christy needs to swim the 50-yard freestyle select choice seconds faster to qualify for the regional meet.

Explanation:

Step1: Define the problem

We need to find how much faster Christy needs to swim. Her current time is 32.56 seconds, and the qualifying time is 25.99 seconds or less. Let \( x \) be the number of seconds she needs to swim faster. So the inequality representing the situation is \( 32.56 - x \leq 25.99 \). But to find \( x \), we can calculate the difference between her current time and the qualifying time.

Step2: Calculate the difference

To find how much faster she needs to swim, we subtract the qualifying time from her current time. So \( x = 32.56 - 25.99 \).

Step3: Perform the subtraction

\( 32.56 - 25.99 = 6.57 \)

Answer:

The variable \( x \) represents the number of seconds Christy needs to swim faster. The inequality is \( 32.56 - x \leq 25.99 \). Christy needs to swim \( 6.57 \) seconds faster to qualify for the Regional Meet.