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Choo Kheng must travel at least 288 kilometers in a submarine in order to reach her destination. Let S represent the number of hours the submarine can travel on the water's surface and U represent the number of hours it can travel underwater in order to reach Choo Kheng's destination. 36 S+64 U >= 288 The submarine travels for 2(2)/(3) hours on the water's surface. What is the least number of hours the submarine must travel underwater in order for Choo Kheng to reach her destination? Choose 1 answer: (A) The submarine must travel for at least 1 hour. (B) The submarine must travel for at least 2 hours. (C) The submarine must travel for at least 3 hours. D The submarine must travel for at least 4 hours.

Choo Kheng must travel at least 288288 kilometers in a submarine in order to reach her destination.\newlineLet S S represent the number of hours the submarine can travel on the water's surface and U U represent the number of hours it can travel underwater in order to reach Choo Kheng's destination.\newline36S+64U≥288 36 S+64 U \geq 288 \newlineThe submarine travels for 223 2 \frac{2}{3} hours on the water's surface. What is the least number of hours the submarine must travel underwater in order for Choo Kheng to reach her destination?\newlineChoose 11 answer:\newline(A) The submarine must travel for at least 11 hour.\newline(B) The submarine must travel for at least 22 hours.\newline(C) The submarine must travel for at least 33 hours.\newline(D) The submarine must travel for at least 44 hours.

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Q. Choo Kheng must travel at least 288288 kilometers in a submarine in order to reach her destination.\newlineLet S S represent the number of hours the submarine can travel on the water's surface and U U represent the number of hours it can travel underwater in order to reach Choo Kheng's destination.\newline36S+64U≥288 36 S+64 U \geq 288 \newlineThe submarine travels for 223 2 \frac{2}{3} hours on the water's surface. What is the least number of hours the submarine must travel underwater in order for Choo Kheng to reach her destination?\newlineChoose 11 answer:\newline(A) The submarine must travel for at least 11 hour.\newline(B) The submarine must travel for at least 22 hours.\newline(C) The submarine must travel for at least 33 hours.\newline(D) The submarine must travel for at least 44 hours.
  1. Understand the problem: Understand the problem.\newlineWe are given the equation 36S+64U≥28836S + 64U \geq 288, where SS is the number of hours the submarine travels on the water's surface and UU is the number of hours it travels underwater. We need to find the minimum value of UU when SS is given as 2(23)2\left(\frac{2}{3}\right) hours.
  2. Substitute and simplify: Substitute the given value of SS into the equation.\newlineSS is given as 2(23)2\left(\frac{2}{3}\right) hours, which is equal to 83\frac{8}{3} hours. We substitute this value into the equation to find UU.\newline36(83)+64U≥28836\left(\frac{8}{3}\right) + 64U \geq 288
  3. Perform multiplication: Perform the multiplication to simplify the equation.\newline36×(83)=9636 \times \left(\frac{8}{3}\right) = 96\newlineSo, the equation becomes:\newline96+64U≥28896 + 64U \geq 288
  4. Perform subtraction: Subtract 9696 from both sides of the inequality to solve for UU. \newline64U≥288−9664U \geq 288 - 96\newline64U≥19264U \geq 192
  5. Divide to find minimum: Divide both sides of the inequality by 6464 to find the minimum value of UU.\newlineU≥19264U \geq \frac{192}{64}\newlineU≥3U \geq 3

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