A tour director is hiring boats to transport a group of tourists across a river. He must make sure there is room for at least 27 passengers, the number of tourists in the group. A dinghy can seat 6 passengers and a flatboat can seat 1 passenger. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of dinghies y = the number of flatboats Choices: (A)6x + y ≥ 27 (B)x + 6y ≥ 27 (C)6x + y ≤ 27 (D)x + 6y ≤ 27

Calculate dinghy capacity: Each dinghy seats 6 passengers, so the total number of passengers that can be seated in x dinghies is 6x.Calculate flatboat capacity: Each flatboat seats 1 passenger, so the total number of passengers that can be seated in y flatboats is y.Calculate total passenger capacity: The total number of passengers that can be seated in both dinghies and flatboats is 6x + y.Set up inequality: The tour director needs to seat at least 27 passengers, so the inequality must show that the number of passengers seated by dinghies and flatboats is greater than or equal to 27.Formulate correct inequality: The correct inequality is 6x + y ≥ 27.

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A tour director is hiring boats to transport a group of tourists across a river. He must make sure there is room for at least $27$ passengers, the number of tourists in the group. A dinghy can seat $6$ passengers and a flatboat can seat $1$ passenger. $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of dinghies $\newline$ $y =$ the number of flatboats $\newline$ Choices: $\newline$ (A) $6x + y \geq 27$ $\newline$ (B) $x + 6y \geq 27$ $\newline$ (C) $6x + y \leq 27$ $\newline$ (D) $x + 6y \leq 27$

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Algebra 1

Write two-variable inequalities: word problems

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Q. A tour director is hiring boats to transport a group of tourists across a river. He must make sure there is room for at least

27

passengers, the number of tourists in the group. A dinghy can seat

6

passengers and a flatboat can seat

1

passenger.

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of dinghies

\newline

y =

the number of flatboats

\newline

Choices:

\newline

(A)

6x + y \geq 27

\newline

(B)

x + 6y \geq 27

\newline

(C)

6x + y \leq 27

\newline

(D)

x + 6y \leq 27

Calculate dinghy capacity: Each dinghy seats $6$ passengers, so the total number of passengers that can be seated in $x$ dinghies is $6x$ .
Calculate flatboat capacity: Each flatboat seats $1$ passenger, so the total number of passengers that can be seated in $y$ flatboats is $y$ .
Calculate total passenger capacity: The total number of passengers that can be seated in both dinghies and flatboats is $6x + y$ .
Set up inequality: The tour director needs to seat at least $27$ passengers, so the inequality must show that the number of passengers seated by dinghies and flatboats is greater than or equal to $27$ .
Formulate correct inequality: The correct inequality is $6x + y \geq 27$ .