Question

samara is going on a hike on a nature trail. she starts at the trail head, then hikes at a constant rate of 150 feet per minute. finally, write an equation that represents this line. you can think of the equation as the distance traveled equals the starting distance plus the change in distance as time passes. use d to represent the distance traveled, and t to represent the time since the start of the hike. the slope is 150. the vertical intercept is 0. distance traveled = starting distance + change in distance as time passes

Explanation:

Step1: Identify components

Starting distance is 0 (starts at trail head), rate is 150 ft/min (change in distance per minute).

Step2: Form equation

Distance \( d \) = starting distance + (rate × time \( t \)). So \( d = 0 + 150t \), simplifying to \( d = 150t \).

Step3: Fill the boxes

First box: \( d \), second box: \( 0 \), third box: \( 150t \) (since change in distance is rate×time = 150t).

Answer:

\( d = 0 + 150t \) (or simplified \( d = 150t \))
Filling the boxes: First box \( d \), second box \( 0 \), third box \( 150t \)