NEED HELP FAST For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge is at least $30. What is the minimum number of hours for a babysitting job she would accept?
2 and one-half hours
3 hours
4 hours
4 and one-half hours
To determine the minimum number of hours for a babysitting job that Tamar would accept, we need to find the total charge for each scenario and see which one is greater than or equal to $30.
1. For 2 and one-half hours:
Total charge = ($6 for bus fare) + ($8 per hour x 2.5 hours)
Total charge = $6 + $20
Total charge = $26
Since $26 is less than $30, Tamar would not accept a babysitting job for 2 and one-half hours.
2. For 3 hours:
Total charge = ($6 for bus fare) + ($8 per hour x 3 hours)
Total charge = $6 + $24
Total charge = $30
Since $30 is equal to $30, Tamar would accept a babysitting job for 3 hours.
3. For 4 hours:
Total charge = ($6 for bus fare) + ($8 per hour x 4 hours)
Total charge = $6 + $32
Total charge = $38
Since $38 is greater than $30, Tamar would accept a babysitting job for 4 hours.
4. For 4 and one-half hours:
Total charge = ($6 for bus fare) + ($8 per hour x 4.5 hours)
Total charge = $6 + $36
Total charge = $42
Since $42 is greater than $30, Tamar would accept a babysitting job for 4 and one-half hours.
Therefore, the minimum number of hours for a babysitting job that Tamar would accept is 3 hours.
To find the minimum number of hours Tamar would accept for a babysitting job, we need to consider the condition that the total charge should be at least $30.
Let's calculate the total charge for each option and see which one satisfies the condition:
1. For 2 and one-half hours:
Total charge = $6 (bus fare) + ($8/hour × 2.5 hours)
Total charge = $6 + $20 = $26
2. For 3 hours:
Total charge = $6 (bus fare) + ($8/hour × 3 hours)
Total charge = $6 + $24 = $30
3. For 4 hours:
Total charge = $6 (bus fare) + ($8/hour × 4 hours)
Total charge = $6 + $32 = $38
4. For 4 and one-half hours:
Total charge = $6 (bus fare) + ($8/hour × 4.5 hours)
Total charge = $6 + $36 = $42
From the calculations, we see that only the option with 3 hours satisfies the condition that the total charge should be at least $30. Therefore, the minimum number of hours for a babysitting job Tamar would accept is 3 hours.
6 + 8 h ≥ 30 ... subtract 6
8 h ≥ 24 ... divide by 8
h ≥ ?