your uber rating is 4.2. for your first 80 rides. uber has started a new scheme where they give additional 10% of to those customers who have a rating of 4.5 and above. what is the minimum number of trips that you will require to get the rating of 4.5

Question

Accepted Answer

The minimum number of trips required to achieve a rating of 4.5 is 20.

To calculate the minimum number of trips required, we need to find the difference between the current rating and the desired rating.
Since the desired rating is 4.5 and the current rating is 4.2, the difference is 0.3.
Each trip contributes to the rating, so we need to divide the difference by the rating increment per trip.
The rating increment per trip can be calculated by dividing the additional discount (10%) by the total number of trips.
In this case, the additional discount is 0.1 and the total number of trips is 80, so the rating increment per trip is 0.1/80 = 0.00125.
To find the minimum number of trips required, we divide the difference (0.3) by the rating increment per trip (0.00125), which gives us 240.
However, since we already have 80 trips, we subtract that from the total number of trips required, resulting in 240 - 80 = 160.
Therefore, the minimum number of trips required to achieve a rating of 4.5 is 160.

Accepted Answer

To determine the minimum number of additional trips required to raise your Uber rating from 4.2 to 4.5, we can use the formula for average:

Rating
=
Total Score
Total Rides
Rating= 
Total Rides
Total Score
​
 
Given:
Current rating = 4.2
Number of rides so far = 80
New rating needed = 4.5
Step 1: Calculate the current total score.
Total Score
=
4.2
×
80
=
336
Total Score=4.2×80=336
Step 2: Let the number of additional rides be 
x
x, and assume you get a perfect 5-star rating on all additional rides. Then, the total score after 
x
x additional rides is:
New Total Score
=
336
+
5
x
New Total Score=336+5x
The total number of rides will be:

New Total Rides
=
80
+
x
New Total Rides=80+x
The new rating will be:

New Rating
=
336
+
5
x
80
+
x
New Rating= 
80+x
336+5x
​
 
Step 3: Solve for 
x
x when the new rating is 4.5.
336
+
5
x
80
+
x
=
4.5
80+x
336+5x
​
 =4.5
Multiply through by 
80
+
x
80+x to eliminate the denominator:

336
+
5
x
=
4.5
(
80
+
x
)
336+5x=4.5(80+x)
Expand the right-hand side:

336
+
5
x
=
360
+
4.5
x
336+5x=360+4.5x
Simplify:

0.5
x
=
24
0.5x=24
Solve for 
x
x:

x
=
48
x=48
Final Answer:
You need at least 48 additional rides with a perfect 5-star rating to achieve an overall rating of 4.5.

Accepted Answer

(80*4.2 + x*5) / (80+x) = 4.5
x=48 (Min trips)

your uber rating is 4.2. for your first 80 rides. uber has started a new scheme where they give additional 10% of to those customers who have a rating of 4.5 and above. what is the minimum number of trips that you will require to get the rating of 4.5

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