Question

Forest Park Campgrounds charges a $\$100$ membership fee plus $\$35$ per night.

Woodland Campgrounds charges a $\$20$ membership fee plus $\$55$ per night.

Your friend says that if you plan to camp for four or more nights, then you should choose Woodland Campgrounds.

Is your friend correct? Explain.

Answer 1

Calculating charges for $4$ and $5$ night's stay and comparing:

Forest park Campgrounds charges a membership fees$=\$100$

and charges per night$=\$35$

Total charges for $4$ nights $=$membership charges$+(4\times$(per night charge)$)$

$$\begin{gathered} =\$100+\left(4\times \$35\right) \\ =\$240 \end{gathered}$$

Charges for $5$ nights stay $=\$100+\left(5\times \$35\right)$

$=\$275$

Woodland Campground charges a membership fees$=\$20$

and charges per night$=\$55$

Charges for $4$ nights stay $=$ membership charges$+(4\times$(per night charge)$)$

$$\begin{gathered} =\$20+\left(4\times \$55\right) \\ =\$240 \end{gathered}$$

Charges for $5$ nights stay$=\$20+\left(5\times \$55\right)$

$=\$295$

Therefore, for $4$ night's stay we can stay in any campgrounds because the charges for both are the same for $4$ nights.

But for more than $4$ nights we should stay in Forest park Campgrounds because Forest park charges less than other campground.