Question

cameron is going on a hike on a nature trail. he 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. \\(\square = \square + \square\\) distance traveled = starting distance + change in distance as time passes

Explanation:

Step1: Define distance components

The problem states $d$ (distance traveled) equals starting distance plus change in distance over time.

Step2: Identify starting distance

The vertical intercept (starting distance) is 0.

Step3: Calculate change in distance

Change in distance is rate × time: $150 \times t = 150t$

Step4: Assemble the equation

Combine starting distance and change in distance.
$d = 0 + 150t$
Simplify the equation (since adding 0 has no effect).
$d = 150t$

Answer:

$d = 0 + 150t$ (or simplified to $d = 150t$)
Filling the blanks:
$\boldsymbol{d}$ = $\boldsymbol{0}$ + $\boldsymbol{150t}$