Question

1. lindsey is in a community service club at her school, and she needs to complete a minimum of 60 hours of volunteering this semester. she has already completed 15 hours of volunteering at the schools spring festival, and she plans to complete the rest by volunteering for weekend shifts at the animal shelter. each shift at the shelter is 4 hours long.
2. which inequality can be used to find the number of full shifts, s, that lindsey needs to volunteer for to have enough hours?

$4s + 15 \leq 60$
$15s + 4 \geq 60$
$15s + 4 \leq 60$
$4s + 15 \geq 60$

1. what is the minimum number of full shifts that lindsey needs to volunteer for to have enough hours?

____ full shifts

Explanation:

Step1: Define total volunteer hours

Total hours = existing hours + shift hours. Existing hours = 15, shift hours = $4s$. Needs total ≥ 60.
$4s + 15 \geq 60$

Step2: Solve the inequality for s

Subtract 15 from both sides.
$4s \geq 60 - 15$
$4s \geq 45$

Step3: Isolate s by dividing by 4

$ s \geq \frac{45}{4} = 11.25$

Step4: Round up to full shifts

Shifts are full, so round 11.25 up to 12.

Answer:

1. Correct inequality: $4s + 15 \geq 60$
2. Minimum number of full shifts: 12