Question

You can work no more than 20 hours a week at your two jobs. tutoring pays $10 and hour and your job at bill miller's bbq pays $12 per hour. you must tutor at least 4 hours a week. you need to earn at least $180 each week to pay your bills. state 3 combinations of hours you can work at your two jobs that will allow you to earn enough money to pay your bills.

a) $150
b) $200
c) $180
d) $250

Answer 1

a) 14 hours tutoring and 6 hours at Bill Miller's BBQ.

b) 12 hours tutoring and 8 hours at Bill Miller's BBQ.

c) 16 hours tutoring and 4 hours at Bill Miller's BBQ.

Step-by-step explanation:

To calculate the combinations of hours that will allow you to earn the specified amounts, we can set up equations based on the given hourly rates. Let t represent the tutoring hours and b represent the Bill Miller's BBQ hours.

a) For $150:

`\[10t + 12b = 150\]`

Subject to the constraints:

`\[t + b \leq 20\]`

`\[t \geq 4\]`

Solving these equations gives us
`\( t = 14 \)` and \( b = 6 \)
`\( b = 6 \)`.

b) For $200:

`\[10t + 12b = 200\]`

Subject to the constraints:

`\[t + b \leq 20\]`

`\[t \geq 4\]`

Solving these equations gives ust = 12 and b = 8 .

c) For $180:

`\[10t + 12b = 180\]`

Subject to the constraints:

`\[t + b \leq 20\]`

`\[t \geq 4\]`

Solving these equations gives us t = 16 and b = 4 .

In summary, the combinations of hours that meet the criteria are:

a) 14 hours tutoring and 6 hours at Bill Miller's BBQ, earning $150.

b) 12 hours tutoring and 8 hours at Bill Miller's BBQ, earning $200.

c) 16 hours tutoring and 4 hours at Bill Miller's BBQ, earning $180.