Which of the following options correctly orders the numbers below from least to greatest? 235.971, 145.884, -271.906, -193.823

A. -271.906, -193.823, 145.884, 235.971

B. -271.971, 235.971, -193.823, 145.884

C. 145.884, -193.823, 235.971, -271.906

D. -193.823, -271.906, 145.884, 235.971

Answer Explanation:

From the given options, we can arrange the numbers from the smallest to the largest as:

-271.906, -193.823, 145.884, 235.971

From the above, it can be noted that -271 is less than -193 while 235 is more than 145.

Therefore, the Correct Answer is A.

Q #1: A farmer needs to buy fertilizer for his farmland. The instructions on the bag of the fertilizer say 49.5 pounds of fertilizer is needed for 1 acre of land. The farmer buys 2,000 pounds of fertilizer. Which of the following is the approximate number of acres he can cover with the fertilizer he bought?

A. 40

B. 120

C. 300

D. 1000

Answer Explanation

From the given problem,

49.5 pounds of fertilizer is needed to farm 1 acre of land. This can be interpreted as:

Or

Now we are needed to find the acres of land that will be farmed using 2000 pounds of fertilizers. To solve this, we use the second option as follows:

2000 pounds of fertilizers can farm approximately 40 acres of land.
Q #2: The graph below compares the age of car to its value. Which of the following is the age of the car when its value is $12,500?

A. Between 2 and 3 years

B. Less than 1 year

C. Greater than 3 years

D. Between 1 and 2 years

Answer Explanation

We extrapolate the values of a line between 10 and 15 on y-axis to meet the curve and drop another line from the intersection of the curve to meet the x-axis and read off the age of the car.

Now, let’s extrapolate in the following diagram

The intersection of the line and the x-axis is between 4 and 5 years. This means that the car is about 4.5 years old. From the options given, the age of the car is more than 3 years old.
Q #3: The width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in2. Which of the following is the length of the rectangle?

A. 8 in

B. 28 in

C. 36 in

D. 128 in

Answer Explanation

We need to find the length of the rectangle from the given area and width of the rectangle. Let L be length if the rectangle. Then,

Area of rectangle=Length*width

Substituting area=32 in2 and w=4 inches

32=L*4

32=4L

Divide both sides by 4

32/4=4L/4

8=L

The length of the rectangle is 8 inches.