Question

The value of the gasoline being transported in a tanker truck varies directly with the capacity of the truck. If the value of gasoline in a 2000 gallon tanker truck is 5500, what is the value of gasoline in a 9500 gallon truck?"

a) 26125
b) 23500
c) 27500
d) 2750

Answer 1

The value of the gasoline in a 9500 gallon truck is $26125.

Step-by-step explanation:

In this problem, the value of the gasoline is being transported in a tanker truck varies directly with the capacity of the truck. This means that as the capacity of the truck increases, the value of the gasoline increases in proportion. We can use a proportion to solve this problem:

Let x be the value of gasoline in the 9500 gallon truck.

Using the proportion:
Value of gasoline in 2000 gallon truck / Capacity of 2000 gallon truck = Value of gasoline in 9500 gallon truck / Capacity of 9500 gallon truck

5500 / 2000 = x / 9500

Cross multiplying, we get:

2000x = 5500 * 9500

Dividing both sides by 2000, we get:

x = 5500 * 9500 / 2000 = 26125

Therefore, the value of gasoline in a 9500 gallon truck is 26125.