Question

A state is looking to reduce the cost of transportation, which uses 7.10×10^14 BTUs per year. Currently the cost of 10^6BTUs is $20.00. How much will the state save in one uear if they implement regulations requiring all transportation methods to be 20% more efficient

Answer 1

Answer:

$ 284 million dollars

Explanation:

If the energy usage of all transportation is 7.10 × 10¹⁴ BTU per year, if their efficiency is to increase by 20%, The new energy usage will be (1 + 20/100)7.10 × 10¹⁴ BTU per year = (1.02)7.10 × 10¹⁴ BTU per year = 7.242 × 10¹⁴ BTU per year.

The energy saved is thus the difference 7.242 × 10¹⁴ BTU per year - 7.10 × 10¹⁴ BTU per year = 0.142 × 10¹⁴ BTU per year.

Since 10⁶ BTU costs $ 20.00, then,

0.142 × 10¹⁴ BTU costs 0.142 × 10¹⁴ BTU × $ 20.00/10⁶ BTU = $ 2.84 × 10⁸ per year = $ 284 million dollars

So the state saves $ 284 million dollars in one year

Answer 2

The state save in one year if they implement regulations requiring all transportation methods to be 20% more efficient - 2.84 Billion

Given:

Initial energy consumption per year without any regulations = 7.1

cost of energy consumption of BTUs = $20.00

Solution:

• if the state implements regulations that all transportation methods to be 20% more efficient means, Then, the energy consumption per year should be 80% of the initial energy demand:

= 80% of initial energy consumption  

= 80% of $7.1 \times 10^{14}$ BTUs

= $5.68 \times 10^{10}$ BTUs  

so, the initial cost was

=

= $ 1.42

= $ 14.2 Billion

• after implementation of regulations cost will b

= $11.36 Billion

• state savings in one year if they implement regulations

= 14.2 -11.36

= $ 2.84 Billion (answer)

Thus, The state save in one year if they implement regulations requiring all transportation methods to be 20% more efficient - 2.84 Billion

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