You must drive more than 40 miles to make option A the cheaper plan
<em><u>Solution:</u></em>
Two payment options to rent a car
Let "x" be the number of miles driven in one day
<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>
25 cents is equal to 0.25 dollars
OPTION A : 20 + 0.25x
<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>
50 cents equal to 0.50 dollars
Option B: 10 + 0.50x
<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>
For option A to be cheaper, Option A must be less than option B
Option A < Option B
![20 + 0.25x < 10 + 0.50x](https://tex.z-dn.net/?f=20%20%2B%200.25x%20%3C%2010%20%2B%200.50x)
Solve the inequality
Add -0.50x on both sides
![20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10](https://tex.z-dn.net/?f=20%20%2B0.25x%20-0.50x%20%3C%2010%20%2B%200.50x%20-%200.50x%5C%5C%5C%5C20%20-%200.25x%20%3C%2010)
Add - 20 on both sides,
![20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10](https://tex.z-dn.net/?f=20%20-%200.25x%20-%2020%20%3C%2010%20-%2020%5C%5C%5C%5C-0.25x%20%3C%20-10)
![\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}](https://tex.z-dn.net/?f=%5Cmathrm%7BMultiply%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A-1%5C%3A%5Cleft%28reverse%5C%3Athe%5C%3Ainequality%5Cright%29%7D)
![0.25x > 10](https://tex.z-dn.net/?f=0.25x%20%3E%2010)
Divide both sides by 0.25
![x > 40](https://tex.z-dn.net/?f=x%20%3E%2040)
Thus you must drive more than 40 miles to make option A the cheaper plan
The answer is going to be D.
This is because they all sides are congruent and the same length :D
Hope this helps :D
Answer:
The equation of the circular wheel is
.
Step-by-step explanation:
Given :
Radius of Ferris wheel r = 70 feet.
The distance between the wheel and the ground = 4 feet.
Also, the rectangular coordinate system shown has its origin on the ground directly below the center of the wheel.
So the x coordinate of center of wheel must be 0 , and y coordinate = 70 + 4 = 74
Thus, Coordinates of center = (0,74)
The equation of circle is given by :-
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Now center (h,k) = (0,74) and r = 70 , we get
![x^2+(y-74)^2=(70)^2](https://tex.z-dn.net/?f=x%5E2%2B%28y-74%29%5E2%3D%2870%29%5E2)
Hence, the equation of the circular wheel is
.
Answer:
C) -0.103 and D) 0.204
Step-by-step explanation:
A linear model with a weak correlation is gonna have an r value closest to 0, whether it be negative or positive. C and D seem to be the best choice as they're closest to 0.