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Aisha owns a small business selling used books. She knows that in the last week 11 customers paid cash, 33 customers used a debit card, and 72 customers used a credit card.
If next week, she is expecting 1200 customers, about how many would you expect to pay with a debit card? Round your answer to the nearest whole number.
Answer:

Aisha owns a small business selling used books. She knows that in the last week $11$ customers paid cash, $33$ customers used a debit card, and $72$ customers used a credit card. $\newline$ If next week, she is expecting $1200$ customers, about how many would you expect to pay with a debit card? Round your answer to the nearest whole number. $\newline$ Answer:

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Full solution

Q. Aisha owns a small business selling used books. She knows that in the last week

11

customers paid cash,

33

customers used a debit card, and

72

customers used a credit card.

\newline

If next week, she is expecting

1200

customers, about how many would you expect to pay with a debit card? Round your answer to the nearest whole number.

\newline

Answer:

Determine total customers and proportion: Determine the total number of customers from last week and the proportion that paid with a debit card. $\newline$ Customers who paid cash: $11$ $\newline$ Customers who used a debit card: $33$ $\newline$ Customers who used a credit card: $72$ $\newline$ Total number of customers from last week: $11 + 33 + 72$
Calculate total customers: Calculate the total number of customers from last week. $\newline$ Total number of customers = $11 + 33 + 72 = 116$
Calculate proportion of debit card users: Calculate the proportion of customers who paid with a debit card. Proportion of debit card users = $\frac{\text{Number of debit card users}}{\text{Total number of customers}}$ Proportion of debit card users = $\frac{33}{116}$
Calculate expected debit card users: Calculate the expected number of customers who will pay with a debit card next week. $\newline$ Expected number of debit card users = Proportion of debit card users $\times$ Total expected customers next week $\newline$ Expected number of debit card users = $(33 / 116) \times 1200$
Perform calculation for expected users: Perform the calculation to find the expected number of debit card users. Expected number of debit card users = $(\frac{33}{116}) \times 1200 \approx 341.379$
Round expected users: Round the expected number of debit card users to the nearest whole number. $\newline$ Rounded expected number of debit card users = $341$ (since $0.379$ is closer to $0$ than to $1$ )

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