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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 1111 customers paid cash, 3333 customers used a debit card, and 7272 customers used a credit card.\newlineIf next week, she is expecting 12001200 customers, about how many would you expect to pay with a debit card? Round your answer to the nearest whole number.\newlineAnswer:

Full solution

Q. Aisha owns a small business selling used books. She knows that in the last week 1111 customers paid cash, 3333 customers used a debit card, and 7272 customers used a credit card.\newlineIf next week, she is expecting 12001200 customers, about how many would you expect to pay with a debit card? Round your answer to the nearest whole number.\newlineAnswer:
  1. Determine total customers and proportion: Determine the total number of customers from last week and the proportion that paid with a debit card.\newlineCustomers who paid cash: 1111\newlineCustomers who used a debit card: 3333\newlineCustomers who used a credit card: 7272\newlineTotal number of customers from last week: 11+33+7211 + 33 + 72
  2. Calculate total customers: Calculate the total number of customers from last week.\newlineTotal number of customers = 11+33+72=11611 + 33 + 72 = 116
  3. Calculate proportion of debit card users: Calculate the proportion of customers who paid with a debit card. Proportion of debit card users = Number of debit card usersTotal number of customers\frac{\text{Number of debit card users}}{\text{Total number of customers}} Proportion of debit card users = 33116\frac{33}{116}
  4. Calculate expected debit card users: Calculate the expected number of customers who will pay with a debit card next week.\newlineExpected number of debit card users = Proportion of debit card users ×\times Total expected customers next week\newlineExpected number of debit card users = (33/116)×1200(33 / 116) \times 1200
  5. Perform calculation for expected users: Perform the calculation to find the expected number of debit card users. Expected number of debit card users = (33116)×1200341.379(\frac{33}{116}) \times 1200 \approx 341.379
  6. Round expected users: Round the expected number of debit card users to the nearest whole number.\newlineRounded expected number of debit card users = 341341 (since 0.3790.379 is closer to 00 than to 11)

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