Page 106 - Algebra 1

*16. Chemistry Boyle’s law relates the pressure and volume of a gas held at a constant ii
_
(16) temperature. This relationship is represented by the equation Pf = P V . In this
Vf equation, Pi and Vi represent the gas’s initial pressure and volume. Pf and Vf
represent the gas’s final pressure and volume. What is the final pressure of the gas if a 3-liter volume of gas at a pressure of 1 atmosphere is expanded to a final volume of 6 liters?
*17. Investing Jamiewantstodetermineh_owmuchsheshouldinvestinastock.Sheuses (16) the equation for present value, V = Vf , in which V is the future value, i is the
p (1 + i)t f
interest rate, and t is the number of years. How much should her present value be
if she wants the future value of the stock to be $2000 in 10 years at an interest rate of 0.02? Round the answer to the nearest dollar.
*18. Multiple Choice Given the information in the table, which (16) equation best relates x and y?
x
y
2
13
1
6
-1
4
-2
3
A y = x3 + 5
C y = ⎪x3 + 5⎥
B y = x2 + 5 _
_x
D y = x3 + 5 x
Measurement A party planner use the equation A = Nx2 to estimate how much cake
3 4 *19.
(16) is needed for a party with N guests, where x is the width of a square piece of cake.
If each piece of cake will be about 3 inches wide, approximate the area of the base of a cake pan for the given number of guests.
a. 50 guests
b. 150 guests c. 350 guests
*20. Multi-Step Two teams of students were riding bikes for charity. There were a total (15) of b students on the blue team and they each rode 15 miles. There were a total of
r students on the red team and they each rode 3 miles. The students collected $2 for each mile.
a. Write an expression for the total number of miles ridden by both teams.
b. Write and simplify an expression that uses the Distributive Property to show the total amount of money collected.
21. Error Analysis A bucket contains 10 balls numbered 1, 1, 2, 3, 4, 4, 4, 5, 6, and 6. A (14) single ball is randomly chosen from the bucket. What is the probability of drawing a ball with a number greater than or equal to 5? Which student is correct? Explain
the error.
22. Estimate √ 36 + √ 40 √ 25 + √ 80. Verify the answer. (13)
Student A
P(5 or 6) = _3 10
Student B
P(5 or 6) = _2 or _1 10 5
Lesson 16 91