Question

A hiker climbed up from the bottom of a mountain. His elevation increased at a rate of 25 feet each hour. Which equation models the change in his elevation at 5 hours? O A. (-5)(-25) = -125 O B. 5.25 = 125 O C. 5(-25) = 125 O D. 5(-25) = -125

Answer 1

b. 5*25=125

125 ft

Explanation

you can solve this by using a rule of three

Let

x represents the elevation after y hours

Hence

$\begin{gathered} 1\text{ hour}\rightarrow25\text{ ft} \\ 5\text{ hours}\rightarrow x\text{ } \\ th\text{e proportion is the same, then} \\ \\ \frac{1\text{ hour}}{25\text{ ft}}=\frac{5\text{ hour}}{x} \\ \frac{1}{25}=\frac{5}{x} \\ \text{solve for x} \\ x=25\cdot5 \\ x=125 \\ 25\frac{ft}{\text{hour}}\cdot5\text{ hour=125 ft} \\ 5\cdot25=125 \end{gathered}$

so, the answer is b