1. 14.4 km, 2. 25.2 km, 3. 37.8 km
Answer:
- Part A: The price of fuel A is decreasing by 12% per month.
- Part B: Fuel A recorded a greater percentage change in price over the previous month.
Explanation:
<u>Part A:</u>
The function
calculates the price of fuel A each month by multiplying the price of the month before by 0.88.
Month price, f(x)
1 2.27 (0.88) = 1.9976 ≈ 2.00
2 2.27(0.88)² = 1.59808 ≈ 1.60
3 2.27(0.88)³ = 1.46063 ≈ 1.46
Then, the price of fuel A is decreasing.
The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.
<u>Part B.</u>
<u>Table:</u>
m price, g(m)
1 3.44
2 3.30
3 3.17
4 3.04
To find if the function decreases with a constant ration divide each pair con consecutive prices:
- ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96
- ratio = 3.17 / 3.30 = 0.960 ≈ 0.96
- ratio = 3.04 / 3.17 = 0.959 ≈ 0.96
Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.
Hence, the fuel A recorded a greater percentage change in price over the previous month.
A because it can be rearranged to the y = mx + c format. y = -1/40 x + 4
Answer:
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Step-by-step explanation:
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-3x-6y=17
-6y=3x+17
y=-x/2-17/6 so the slope of the line is -1/2
For another line to be perpendicular to this one the product of their slopes must equal -1
(-1/2)m=-1, m=2 so the perpendicular line will have a slope of 2...
y=2x+b, using point (6,3) we can solve for b...
3=2(6)+b
3=12+b
b=-9 so
y=2x-9