CAN SOMEONE PLEASE HELP!!!
Last night it started raining as Hibah was closing up the store where she works. By 3 am, the roof
of the store developed a small hole and water began to leak onto the sales floor. The water
created a circular puddle on the floor. At any time, t,
in minutes, the radius of the puddle increases by 0.1
cm. The rain continued through the night but stopped
by the time the morning shift arrived at the store at 7
am.
When the employees arrived at work, the leak and
water puddle were discovered. The employees
cleaned up the water puddle and placed a tall circular
bucket underneath the leak, which was still slowly
dripping. The capacity of the bucket can be expressed
as () = 8^3 + 4^2 − 6 + 5. By 10 am, the
amount of water in the bucket is () = 2^3 + ^2 − 4 + 7.
Use the information given to explore some of the mathematical concepts you have practiced so
far by answering the questions below.
1. Write a function that describes the area of the water puddle on the floor as a function of its
radius. Use function notation
2. Write a function that represents the radius of the puddle at time . Use function notation.