The price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. $\newline$ The table compares the total distance of a trip (in meters) and the price of the trip (in dollars). $\newline$ \begin{tabular}{cc} $\newline$ Distance (meters) & Price (dollars) \\ $\newline$ \hline $70$ & $114$ . $1$ \\ $\newline$ $100$ & $118$ \\ $\newline$ $130$ & $121$ . $90$ $\newline$ \end{tabular} $\newline$ What is the additional fee for each meter climbed? $\newline$ $\$$

Full solution

Q. The price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.

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The table compares the total distance of a trip (in meters) and the price of the trip (in dollars).

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\begin{tabular}{cc}

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Distance (meters) & Price (dollars) \\

\newline

\hline

70

114

1

\newline

100

118

\newline

130

121

90

\newline

\end{tabular}

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What is the additional fee for each meter climbed?

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\$

Given Table Information: We are given a table with distances and corresponding prices for a climbing trip to Mount Kilimanjaro. To find the additional fee per meter, we need to calculate the difference in price between two distances and then divide that by the difference in distance.
Calculate Price Difference: Let's use the data for $100$ meters and $130$ meters. The price for $100$ meters is $\$118$ , and the price for $130$ meters is $\$121.90$ .
Calculate Distance Difference: Calculate the difference in price: $\$121.90 - \$118 = \$3.90$ .
Calculate Additional Fee: Calculate the difference in distance: $130 \, \text{meters} - 100 \, \text{meters} = 30 \, \text{meters}.$
Calculate Additional Fee: Calculate the difference in distance: $130\,\text{meters} - 100\,\text{meters} = 30\,\text{meters}$ .Now, divide the difference in price by the difference in distance to find the additional fee per meter: $\$3.90 / 30\,\text{meters} = \$0.13\,\text{per meter}$ .