Samantha threw an apple out of a window from the tenth floor of her apartment building. The equation y = -16t^2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round your answer to the nearest hundredth.

Question

blank seconds

Answer 1

To find out how long it took for the apple to hit the ground, we need to set y (the height) equal to 0 and solve for t:

0 = -16t^2 + 120

First, let's isolate the t^2 term:

16t^2 = 120

Next, divide by 16:

t^2 = 7.5

Now, take the square root of both sides to solve for t:

t = √7.5
t ≈ 2.74

Therefore, it took approximately 2.74 seconds for the apple to hit the ground.

Answer 2

Mrs. Bell's class is selling Hobbs Middle Jaguar t-shirts to raise money for a trip. They typically sell 400 t-shirts in a year for $10 per shirt. Mrs. Bell knows that for every $1 increase in price, they will sell 20 less t-shirts.
What is the revenue function, R(x), where x represents the number of $1 price increases and
revenue is equal the number of t-shirts sold times the cost of each shirt.

A. R(x) = (400+x)(10 - 20x)

B. R(x) = (400x)(10+ 20x)

C. R(x) = (400 - 20x)(10+x)

D. R(x) = (400+20x)(10 - x)

Answer 3

The revenue function, R(x), can be calculated by multiplying the number of t-shirts sold by the cost of each shirt. Given the information provided:

- The number of t-shirts sold is represented by 400 - 20x (since for every $1 increase in price, 20 less t-shirts are sold).
- The cost of each shirt is $10.

Therefore, the revenue function, R(x), is:

R(x) = (400 - 20x)(10)

Multiplying this out:

R(x) = 4000 - 200x

So, the correct answer is:

C. R(x) = (400 - 20x)(10+x)