Question

5 vanna is saving for a trip. the hotel room will be $298.17 for 3 nights, and there will be additional fees. what is her daily cost?$298.17 for 3 nightsa. write an inequality for the situation.b. solve the inequality. then provide a statement that represents the solution of the problem.

Explanation:

Step1: Define variable for daily cost

Let $x$ = daily hotel cost.

Step2: Set up total cost equation

Total cost = 3×daily cost, so $3x = 298.17$

Step3: Solve for daily cost

Divide both sides by 3: $x = \frac{298.17}{3}$

Step4: Calculate the value

$x = 99.39$

Step1: Define variable for daily savings

Let $y$ = daily amount saved.

Step2: Set up inequality for 3 nights

Total saved ≥ total cost: $3y \geq 298.17$

Step3: Solve the inequality

Divide by 3: $y \geq \frac{298.17}{3}$

Step4: Compute the threshold

$y \geq 99.39$

Answer:

The daily cost is $\$99.39$

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For part b (assuming the inequality context is "Vanna needs to save at least the total cost, or save daily to reach the total"):