Question

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? a. Write an inequality for the situation. b. Solve the inequality. Then provide a statement that represents the solution of the problem.

Answer 1

a.
`3c\geq 298.17\\`

b.
`c\geq 99.39\\`

For number a, the equation represents 3 nights multiplied by the daily cost, and then the sign(equal to or greater than) to 298.17.

For number b, you get 99.39 by diving 298.17 by 3, which gets you to 99.39.

Answer 2

Explanation:

Total cost for the three nights

Total_3 = $298.17 + 3*u

Where u represents the unknown fees for a single day

To find the daily cost, we divide the previous equation by three

Daily cost = ($298.17 + 3*u)/3

Daily cost = ($99.39 + u)

So, if we create an inequality for the daily cost

Let x = Daily cost

x > $99.39

She will pay more than $99.39 per night