The table below shows the miles driven as a function of gallons of gas used, what does the ordered pair (6,144) represent?

A. The driver can go 24 miles in 1 hour

B. The driver can go 144 miles with 6 gallons of gas

C. The driver can go 6 miles with 144 gallons of gas

D. The driver can go 144 miles in 6 hours

Answer Explanation:

from the provided table, the first option represents the amount of gas in gallons while the second column shows the distance in miles. Thus, (6, 144) will denote that the car can 144 miles by consuming 6 gallons of a gas.

Therefore, the Correct Answer is B.

Q #1: The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be the correct for the lengths of the other two sides of the triangle? (Note: A2 + B2= C2)

A. 5 inches, 12 inches

B. 2.5 inches, 6 inches

C. 2.5 inches, 4 inches

D. 5 inches, 8 inches

Answer Explanation

In this problem, we take the triangle as a right-angled triangle and label it as follows:

From the Pythagoras theorem A2 + B2= C2, we can look for a combination of A and B that when the squares of A and B are summed give a square of 13. Mathematically,

But C=13 inches

If we take A=5 inches and B=12 inches, then

Next, we take A=2.5 inches, B=6 inches

Next, we take A=2.5 inches, B=4 inches

6.25+16=169

22.25≠169

Taking A=5 inches and B=8 inches

From the above computation, the combination of A=5 inches and B=12 inches give a triangle with a hypothenuse of 13 inches.
Q #2: A patient drives 19 miles one way to a medical facility for treatment. How far does the patient drive round-trip in 22 days of treatment?

A. 1,254 miles

B. 1,672 miles

C. 418 miles

D. 836 miles

Answer Explanation

Round trip means to and from, which is twice the distance from home to a medical facility.

In one day, the round trip=19+19=38 miles

So, in 22 days, the round trip=38*22=836 miles.

The patient will cover 836 miles in 22 days.
Q #3: What is the area of a square that measures 3.1m on each side?

A. 12.4m2

B. 9.61m2

C. 6.2m2

D. 9.1m2

Answer Explanation

Here we are required to find the area of the square of sides 3.1 m. The square is a four-sided figure with each side equal and opposite sides making 90 degrees.

Area of the square =side*side

Side=3.1 m

Area of the square=3.1 m *3.1 m=9.61 m2

Note: 3.1 + 3.1 = 6.2 which is a wrong answer.