Question

Who is climbing at a faster rate?and how much faster does that person climb per hour?

Answer 1

The altitude and time of both Malik and Mila are provided in function form. The rate of climb can be gotten by evaluating the slope of the functions/graphs.

To calculate the slope, we use the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Mila's Ascension:

We have the following parameters from the table:

$\begin{gathered} (x_1,y_1)=(1,721) \\ (x_2,y_2)=(2,1442) \end{gathered}$

Hence, we can calculate the rate of climb to be:

$\begin{gathered} m_1=\frac{1442-721}{2-1} \\ m_1=721 \end{gathered}$

Therefore, Mila ascends at 721 ft/h.

Malik's Ascension:

We have the following parameters from the graph:

$\begin{gathered} (x_1,y_1)=(1,693) \\ (x_2,y_2)=(2,1386) \end{gathered}$

Hence, we can calculate the rate of climb to be:

$\begin{gathered} m_2=\frac{1386-693}{2-1} \\ m_2=693 \end{gathered}$

Therefore, Malik ascends at 693 ft/h.

The difference between both ascension rates is how much faster one is going than the other. This is given to be:

$D=m_2-m_1=721-693=28$

ANSWERS:

1) Mila is climbing at a faster rate.

2) Mila is climbing faster than Malik at a rate of 28 ft/h.