Answer:
53.7 miles per hour
divide the speed value by 17.6
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.
Answer:
a)
We know that:
There is a fixed cost of $7
for each mile, you need to pay $0.65
Then if you take the taxi for "m" miles, the total cost is:
c(m) = $0.65*m + $7
Now we know that Gavin also gives a $3 tip, so we need to add this to the cost:
c(m) = ($0.65*m + $7) + $3 = $0.65*m + $10
c(m) = $0.65*m + $10
Now we know that he paid a total of $62.65
Then:
c(m) = $62.65 = $0.65*m + $10
This is the equation we need to solve in order to find m, the number of miles between Gavin's house and the airport.
b)
$62.65 = $0.65*m + $10
We only need to isolate m, we will get:
$62.65 - $10 = $0.65*m
$52.65/$0.65 = m = 81
This means that there are 81 miles between the airport and Gavin's house.
The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.
The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.
The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter <em>d</em> has circumference <em>πd </em>; a half-circle with the same diameter would then contirubte <em>πd</em>/2, or in this case, 3<em>π</em> m.
So, the total perimeter of the shape is
(4 m + 2√13 m) + 18 m + 3<em>π</em> m ≈ 38.6 m
