Problem 11:
The function f(x) = 10,000  1,500x can be used to predict the number of termites in an area x days after the area has been treated. How many termites are predicted in the area after 5 days?
Solution:
f(x) = 10,000  1,500x
f(x) = 10,000  1500(5)
= 10000  7500
f(x) = 2500
2500 termites are predicted in the area after 5 days.
Problem 12 :
Avis used a quadratic function to solve a problem. The factored form of the function is show below.
(4x + 3)(6x  3) = 0
What is the positive solution to the problem?
Solution:
4x + 3 = 0 4x = 3 x = 3/4 
6x  3 = 0 6x = 3 x = 3/6 x = 1/2 
So, the positive solution is x = 1/2.
Problem 13 :
The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day?
Solution:
x be the number of hours.
250x + 750 ≤ 2500
250x ≤ 1750
x ≤ 7 hours
Problem 14 :
The average daily high temperature for the month of May in Ocala. Florida is approximated by the function
f(n) = 0.2n+ 80
where n is the day of the month. May has 31 days. The maximum daily high temperature occurred on May 31st. What was the maximum temperature?
Solution:
f(n) = 0.2n+ 80
n = day of the month
n = 31
f(n) = 0.2(31)+ 80
= 6.2 + 80
f(n) = 86.2
So, the maximum temperature is 86.2°.
Problem 15 :
Jorge graphed the line shown below.
Solution:
Slope = Rise/Run
Slope = 2/3
Problem 16 :
Shirley graphed the line shown on the coordinate plane below.
Solution:
According to the graph. This line y = mx + b passes through points (1.00, 5.00) (3.00, 2.00).
Problem 17 :
The table below shows the amount of money Bernard earned selling newspapers during a 6week time period.
Which describes the relationship between the week, x, and the money Bernard earned, y?
A. a week, positive relationship
B. a strong, negative relationship
C. a strong, positive relationship
Solution:
So, option (C) is correct.
Problem 18 :
A system of equations is shown below.
y = 2x + 4
y = (2)^{x} + 1
What is the approximate value of x in the solution of the system?
A. 0.69 B. 0.75 C. 3.24
Solution:
y = 2x + 4
y = (2)^{x} + 1
2^{x} + 4 = 2^{x} + 1
2^{x}  2x + 3 = 0
2^{x} + 2x  3 = 0
x = 0.69
So, option (A) is correct.
Problem 19 :
The volume of a cone can be found using the formula
V = 1/3Bh
where B is the area of the base of the cone and h is the height. A cone has a volume of 262 cubic inches and a height of 10 inches. What is the approximate length of the radius of the cone?
A. 2.5 inches B. 5 inches C. 25 inches
Solution:
Given, volume of a cone = 262 cubic inches
height = 10 inches
So, option (B) is correct.
Problem 20 :
M is the midpoint of KL. M is at (5, 2) and L is at (3, 6). What are the coordinates of K?
A. (2, 8) B. (4, 2) C. (7, 10)
Solution:
Given, M(5, 2) = (x, y)
L(3, 6) = (x_{1}, y_{1}) and k = (x_{2}, y_{2})
By using midpoint formula.


Therefore, the coordinates of K is (7, 10).
So, the option (C) is correct.
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