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 45 passengers, the number of tourists in the group. A dinghy can seat 4 passengers and a flatboat can seat 2 passengers. 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)4 + x + 2 + y ≥ 45 (B)4x + 2y ≥ 45 (C)4 + x + 2 + y > 45 (D)4x + 2y > 45

Dinghy Capacity: Dinghy seats: 4 passengers Number of dinghies: x Total seats in dinghies: 4 * x = 4xFlatboat Capacity: Flatboat seats: 2 passengers Number of flatboats: y Total seats in flatboats: 2 * y = 2yTotal Seats Calculation: Total seats needed: At least 45 Total seats provided by dinghies and flatboats: 4x + 2y Inequality: 4x + 2y ≥ 45

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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 $45$ passengers, the number of tourists in the group. A dinghy can seat $4$ passengers and a flatboat can seat $2$ passengers. $\newline$ 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) $4 + x + 2 + y \geq 45$ $\newline$ (B) $4x + 2y \geq 45$ $\newline$ (C) 4 + x + 2 + y > 45 $\newline$ (D) 4x + 2y > 45

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Algebra 2

Write a linear inequality: 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

45

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

4

passengers and a flatboat can seat

2

passengers.

\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)

4 + x + 2 + y \geq 45

\newline

(B)

4x + 2y \geq 45

\newline

(C)

4 + x + 2 + y > 45

\newline

(D)

4x + 2y > 45

Dinghy Capacity: Dinghy seats: $4$ passengers $\newline$ Number of dinghies: $x$ $\newline$ Total seats in dinghies: $4 \times x = 4x$
Flatboat Capacity: Flatboat seats: $2$ passengers $\newline$ Number of flatboats: $y$ $\newline$ Total seats in flatboats: $2 \times y = 2y$
Total Seats Calculation: Total seats needed: At least $45$ $\newline$ Total seats provided by dinghies and flatboats: $4x + 2y$ $\newline$ Inequality: $4x + 2y \geq 45$