A family is planning a driving vacation and is estimating the price of gasoline. While on the vacation, the family plans to drive 3,000 miles. The car gets about 25 miles per gallon, and the cost of gasoline is $1.66 per gallon. Which of the following is the estimate for cost of gasoline for the vacation?

A. $120.00

B. $41.50

C. $72.29

D. $199.20

Answer Explanation:

We solve the problem by first finding the amount of gallons needed for the whole trip then find the cost of the gallon.

The car uses 1 gallon to cover 25 miles, which is same as:

Now, in 3000 miles, the car will use how many gallons of gasoline?

A trip of 3000 miles will need 120 gallons. And to find the cost of 120 gallons, we proceed as follows:

The family will spend $199.20 to drive for 3000 miles.

Therefore, the Correct Answer is D.

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: Simplify the expression below. Which of the following is correct? $18x^5yz\ \div\ \ 6xyz^4$

A. $3x^4z^3$

B. $3x^4yz^3$

C. $\frac{(3x)^4}{z^3}$

D. $\frac{(3x^4)}{z^3}$

Answer Explanation

We use the properties of exponent with the same base to solve for above expression.

Multiplication of exponents with same base, we add the exponents

Division of exponents with same base, we subtract the exponents

Using these two properties, we can solve the expression:

Now we use the following properties:

y0 =1, and , thus
Q #3: 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.