Respuesta :

Given:

The cost for a day food, entertainment and hotes is $250.

The cost for round trip air fair is $198.

Explanation:

Let x represents the number of full days that individual can stay at the beach.

The total money available to individual is $1400. So inequality is,

[tex]\begin{gathered} 250\cdot x+198\leq1400 \\ 250x+198\leq1400 \end{gathered}[/tex]

Thus inequality for number of days is,

[tex]250x+198\leq1400[/tex]

The variable x represent the number of full days that individual can spend at beach trip.

(b)

Solve the inequality for x.

[tex]\begin{gathered} 250x+198-198\leq1400-198 \\ \frac{250x}{250}\leq\frac{1202}{250} \\ x\leq4.808 \end{gathered}[/tex]

The maximum whole value of x is 4.

Thus individual can spend 4 complete (full) days at the beach trip.