Answer:
Hello!
To calculate the percentage change for fuel A, we need to find the difference between the initial price and the final price, and then divide that difference by the initial price. Finally, we multiply the result by 100 to convert it into a percentage.
In this case, the initial price of fuel A is $4.19, and the final price is $3.59.
To find the difference, we subtract the final price from the initial price:
$4.19 - $3.59 = $0.60
Next, we divide the difference by the initial price:
$0.60 / $4.19 = 0.143
To convert this into a percentage, we multiply the result by 100:
0.143 * 100 = 14.3%
Therefore, the percentage change for fuel A is 14.3% each month.
Now let's move on to part B. We are given the function f(x) = 2.12(0.96) to represent the price of fuel B after x months.
Since the formula only contains the constant value 0.96, the price of fuel B remains the same each month. Therefore, the percentage change for fuel B is 0% each month.
Finally, in part C, we compare the percentage changes for fuel A and fuel B. Since the percentage change for fuel A is 14.3% each month and the percentage change for fuel B is 0% each month, we can conclude that fuel A recorded a greater percentage change.
In summary:
- The percentage change for fuel A is 14.3% each month.
- The percentage change for fuel B is 0% each month.
- Fuel A recorded a greater percentage change compared to fuel B.
Explanation: