The height requirement for the Star Speed roller coaster is 54 inches. Even after growing 3 inches since last summer, Dakota is too short to ride. Let x represent how tall Dakota was last summer. Which inequality describes the problem? Choices: (A)x + 3 ≤ 54 (B)x + 3

Question

The height requirement for the Star Speed roller coaster is 54 inches. Even after growing 3 inches since last summer, Dakota is too short to ride.  Let x represent how tall Dakota was last summer. Which inequality describes the problem?   Choices: (A)x + 3 ≤ 54 (B)x + 3 < 54    Solve the inequality. Then, complete the sentence to describe the solution. Dakota was less than ____ inches tall last summer.

Bytelearn · Accepted Answer

Define variable and inequality:  Step 1: Define the variable and set up the inequality. Dakota grew 3 inches since last summer, so if x is Dakota's height last summer, then x + 3 is Dakota's current height. Since Dakota is still too short to ride the roller coaster, the current height must be less than the required 54 inches. Therefore, the inequality is x + 3 < 54. Solve the inequality:  Step 2: Solve the inequality. Subtract 3 from both sides of the inequality x + 3 < 54 to isolate x. x + 3 - 3 < 54 - 3 x < 51 Interpret the solution:  Step 3: Interpret the solution. The solution x < 51 means Dakota was less than 51 inches tall last summer. This answers the question about Dakota's height last summer relative to the roller coaster requirement.

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