A plane flies 910 miles with the wind in the same time it can go 660 miles against the wind. The speed of the plane is still air
1 answer:
Answer:
The speed of the wind is 48.56
Step-by-step explanation:
We can use the following formula to calculate the distance:
distance = speed x time
Let w represent the speed of the wind.
If the plane flies with the wind, the speed will be the speed of the plane + the speed of wind. Since it can fly 910 miles, and the speed of the plane is 305
910 = (305 + w) x time (1)
If the plane flies against the wind, the speed will be the speed of the plane - the speed of wind. Since it can fly 660 miles, and the speed of the plane is 305
660 = (305 - w) x time (2)
Since the time is equal for both equation in 1 and 2:
=
→ 910(305-w) = 660(305+w)
→ 277550 - 910 w = 201300 + 660w
→ 1570w = 76250
→ w = 48.56
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The profit function is the difference between the cost and the revenue functions.
The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.
<h3>How to determine the true profit functions</h3>From the complete questions, the profit functions are calculated as follows:
<u>Material 1</u>
<u>Material 2</u>
<u>Material 3</u>
Next, we test the options
Option 1: When material 2 is used
A price is greater than $150 is $151.
Calculate P(151) using
So, we have:
P(151) is greater than 0; this represents a profit
Hence, option (1) is true
Option 2: When material 1 is used
A price is less than $50 is $49.
Calculate P(49) using
So, we have:
P(49) is less than 0; this represents loss
Hence, option (2) is false
Option 3: When material 3 is used
Calculate P(45) and P(160) using
So, we have:
P(45) is less than 0; this represents loss
Hence, option (3) is false
Option 1: When material 2 is used
Calculate P(30) and P(120) using
So, we have:
P(30) is less than 0; this represents a loss
Hence, option (4) is false
Option 2: When material 1 is used
Calculate P(40) and P(70) using
So, we have:
P(49) is less than 0; this represents loss
Hence, option (5) is false
The above means that:
The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.
Read more about revenue functions at:
See attached picture
Hope this helps
Hope this helps