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In 1 week, a local truck stop services a total of T truck drivers. The 10 Oct 2023, 08:00
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Total earnings: \(3S+12W+14C\) Percentage purchasing combo package: \(\frac{C}{T}\)
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Data Insights (DI) Quiz-II 2023 [Question #13, Date: Oct-10-2023] [Click here for Details]

In 1 week, a local truck stop services a total of T truck drivers. These drivers can choose from a variety of services. A total of S drivers opt to use the truck stop's shower facilities for $3.00 a shower, W drivers put their trucks through the truck wash for $12.00 per wash, and C drivers purchase the combine-and-save Wash-n-Shower combo for $14.00.

In the table, identify the expression that reflects the revenue earned by the truck stop on shower and truck wash services during the week. Then identify the expression that reflects the percentage of customers purchasing the Wash-n-Shower combo package. Make only two selections, one in each column.
Total earnings Percentage purchasing combo package Expression
\(\frac{S+W}{CT}\)
\(\frac{T}{14C}\)
\(\frac{C}{T}\)
\(T-14C\)
\(3S+12W+14C\)
\(\frac{SWC}{29}\)
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Total earnings: \(3S+12W+14C\) Percentage purchasing combo package: \(\frac{C}{T}\)
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In 1 week, a local truck stop services a total of T truck drivers. The 10 Oct 2023, 10:35
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Total Earnings = 3S+12W+14C, Percentage purchasing combo package = C/T

Shower -> S truck drivers -> $3/wash
Wash -> W truck drivers -> $12/wash
Shower and Wash -> C truck drivers-> $14/wash

1. Total earnings

We know, S + W + C = T(total drivers)
so, total revenue must be 3S + 12W + 14C

2. Percentage purchasing combo package

We know, C are truck drivers who opted for combo package of shower and wash

So, percentage = C / (S + W + C) = C / T
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In 1 week, a local truck stop services a total of T truck drivers. The 10 Oct 2023, 23:07
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i) Total earnings for shower =3S
Total earnings forwash=12W
Total earnings for combination= 14C
Total earnings= 3S+12W+14C

ii) % purchasing combo is represented by C/T
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In 1 week, a local truck stop services a total of T truck drivers. The 10 Oct 2023, 23:59
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Column 1: Identify the expression that reflects the revenue earned by the truck stop on shower and truck wash services during the week.

Revenue earned by the truck stop is the sum of customers who opted to use shower, wash and Wash-n-Shower combo multiplied by their respective rates.

Revenue = (S * 3) + (12 * W) + (14 * C)

Column 2: Identify the expression that reflects the percentage of customers purchasing the Wash-n-Shower combo package.

Number of people who purchased Wash-n-Shower combo = C
Total number of customers = T

Therefore, % of customers purchasing Wash-n-Shower combo package = (C/T)*100

Hence, the answer is C/T
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In 1 week, a local truck stop services a total of T truck drivers. The 11 Oct 2023, 02:52
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In 1 week, a local truck stop services a total of T truck drivers. These drivers can choose from a variety of services. A total of S drivers opt to use the truck stop's shower facilities for $3.00 a shower, W drivers put their trucks through the truck wash for $12.00 per wash, and C drivers purchase the combine-and-save Wash-n-Shower combo for $14.00.

In the table, identify the expression that reflects the revenue earned by the truck stop on shower and truck wash services during the week. Then identify the expression that reflects the percentage of customers purchasing the Wash-n-Shower combo package. Make only two selections, one in each column.


A. Total earnings

S drivers @ $3.00 per shower = 3S
W drivers @ $12.00 per wash = 12W
C drivers @ $14.00 per Wash-n-Shower combo = 14C

hence, Total earnings = 3S+12W+14C


B. Percentage purchasing combo package

Total Drivers = S + W + C = T
Drivers purchasing combo package = C

hence, Percentage purchasing combo package = C / T
(ideally 100 * C/T %)

Total
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In 1 week, a local truck stop services a total of T truck drivers. The 11 Oct 2023, 08:45
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Official Explanation

The correct answers are \(3S+12W+14C\) for the revenue earned by the truck stop during the week and \(\frac{C}{T}\) for the percentage of drivers purchasing a combo package.

The total earnings is the sum of revenues earned from all showers, truck washes, and combo packages. To determine the revenue for each service, multiply the cost of the
service by the number of drivers purchasing it. Add together showers (3S) plus truck washes (12W) plus combo packages (14C). The expression is 3S+12W+14C.

The question states that T represents the total drivers served, and C represents those purchasing the combo package. To determine the percentage purchasing combos,
divide the number purchasing combos by the total drivers served: C/T.
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In 1 week, a local truck stop services a total of T truck drivers. The 13 Oct 2024, 06:04
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