Each piece of paper Jodi cuts out is 93.5inˆ2.
Answer: 3 * y^(1/2)
Work:
Since the exponential form of any number is simply the number shown as broken down into its smallest pieces, you need to make each term exponential. Its helpful to break the 9 and the y apart when solving this and bring them back at the end. The expression then becomes (square root of 9) * (square root of y).
The square root of 9 can be simplified to 3.
The square root of y cannot be simplified but can be written in a form such that it becomes y^(1/2). The square root of any number is equal to that same number to the 1/2 power.
When you combine the terms back together, you are left with 3 * y^(1/2).
The graph shows that at 50 stairs, the height is 350 inches. Since the increase is consistent, we can multiply this number (350) times two (350 x 2) which will give us 700 inches. So the answer is D. 700 inches.
1) Take natural logarithms (Ln) on both sides of the first equation:
f(t) = 18 [0.887]^t => Ln [f(t) ] = Ln (18) + t Ln(0.887)
2) Take natural lograrithms (Ln) on both sides of the second equation:
f(t) = Qo [e] ^ (-kt) => Ln [f(t) ] = Ln(Qo) - kt
3) Make the coefficients equal=>
Ln (Qo) = Ln(18) => Qo = 18
Ln (0.887) = - k => -k = -0.1199
4) Substitute the terms in f(t) = Qo [e]^ (-kt) =>
f(t) = 18 [e]^ ( -0.1199 t)
Answer: 18 [e]^(- 0.1199t)
The answer would be 17 just divided 85 by 5 and you'll get your total :)
