Question

Hailey plans to spend between 120 and 210 minutes, inclusive, on practicing soccer each week. She practices for 45 minutes for each practice session. If Hailey has already practiced for 30 minutes this week, how many practice sessions does she need to have to meet her goal? Define the variable, write and solve an inequality, and answer the question.

Answer 1

Hailey needs to have between 2 and 4 practice sessions to meet her goal.

Step-by-step explanation:

To solve this problem, first, let's define the variable. Let's say the number of practice sessions Hailey needs to have is represented by the variable 'n'.

The total time Hailey has already practiced is 30 minutes, so the remaining time she needs to practice is between 120 and 210 minutes inclusive. Let's represent this as an inequality: 120 ≤ 45n + 30 ≤ 210.

Now, let's solve this inequality to find the range of possible values for 'n'. Subtracting 30 from all parts of the inequality, we have: 90 ≤ 45n ≤ 180. Then, dividing all parts of the inequality by 45, we get: 2 ≤ n ≤ 4.

Therefore, Hailey needs to have between 2 and 4 practice sessions to meet her goal.