Question
Mitch works 45 hours per week at his new job, which he spends at his office. During his first week, though, he spent 14 of his work hours doing outdoor team building activities.
Let w represent the number of weeks since starting the job and h represent the total number of hours worked in the office.
Find the value of h when w=2.
h = _
Let w represent the number of weeks since starting the job and h represent the total number of hours worked in the office.
Find the value of h when w=2.
h = _
Answers
GPT-4o mini
Mitch works 45 hours per week at his new job. Therefore, after 2 weeks (w = 2), he will have worked:
\[
h = 45 \text{ hours/week} \times 2 \text{ weeks} = 90 \text{ hours}
\]
However, in the first week, he spent 14 hours on outdoor team building activities, which means he worked in the office for:
\[
45 \text{ hours} - 14 \text{ hours} = 31 \text{ hours} \text{ in the first week}
\]
In the second week, he worked the full 45 hours in the office, as there's no mention of team building activities in that week. Thus, the total hours worked in the office over the two weeks is:
\[
h = 31 \text{ hours (first week)} + 45 \text{ hours (second week)} = 76 \text{ hours}
\]
So, when \( w = 2 \), the value of \( h \) is:
\[
\boxed{76}
\]
\[
h = 45 \text{ hours/week} \times 2 \text{ weeks} = 90 \text{ hours}
\]
However, in the first week, he spent 14 hours on outdoor team building activities, which means he worked in the office for:
\[
45 \text{ hours} - 14 \text{ hours} = 31 \text{ hours} \text{ in the first week}
\]
In the second week, he worked the full 45 hours in the office, as there's no mention of team building activities in that week. Thus, the total hours worked in the office over the two weeks is:
\[
h = 31 \text{ hours (first week)} + 45 \text{ hours (second week)} = 76 \text{ hours}
\]
So, when \( w = 2 \), the value of \( h \) is:
\[
\boxed{76}
\]