Kate has a summer job as a swim instructor to earn her college tuition. She gets paid $4 per hour for the first 30 hours and $6 per hour for each hour in the week worked over 30 hours. Kate's goal is to earn at least $144 per week. How many hours of overtime per week will she need to achieve her goal?

4 hours.

Step-by-step explanation:

According to the statement, you know that the amount she earns per week is equal to the first 30 hours for the price per hour that is $4 plus the number of hours over 30 hours multiply for its price that is $6. According to this, you can write the following equation where x is the hours of overtime per week:

4(30)+6x=144

120+6x=144

Now, you can solve for x:

6x=144-120

6x=24

x=24/6

x= 4

According to this, the answer is that Kate will need 4 hours of ovetime per week to achieve her goal.

the bottom of the spinner is not flat.

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.