Answer :
Let's denote the number of hours you work at the second job as x.
For the first job:
- Hours per week: 25 hours
- Hourly rate: $9
So, the earnings from the first job per week would be:
[tex]\[ \text{Earnings}_1 = 25 \times 9 \][/tex]
For the second job:
- Hours per week: x hours
- Hourly rate: $7
So, the earnings from the second job per week would be:
[tex]\[ \text{Earnings}_2 = 7x \][/tex]
To make at least $365 per week, the total earnings from both jobs should be at least $365:
[tex]\[ \text{Total earnings} = \text{Earnings}_1 + \text{Earnings}_2 \geq 365 \][/tex]
Substituting the expressions for [tex]\( \text{Earnings}_1 \)[/tex]and [tex]\( \text{Earnings}_2 \)[/tex], we get:
[tex]\\\[ 25 \times 9 + 7x \geq 365 \]\[ 225 + 7x \geq 365 \]\[ 7x \geq 365 - 225 \]\[ 7x \geq 140 \]\[ x \geq \frac{140}{7} \]\[ x \geq 20 \][/tex]
So, you would need to work at least 20 hours at the second job to make at least $365 per week.
