Alex's distance form home is represented by the equation D= -0.5t +300

D represents his distance from home and t represents time in minutes

How long will it take Alex to reach a distance of 182 km from home

236

-.05t + 300 = 182

Now just solve for t.

To find out how long it will take Alex to reach a distance of 182 km from home, we need to set up and solve the equation D = 182.

Given that D = -0.5t + 300, we can substitute 182 for D:

182 = -0.5t + 300

To solve for t, we need to isolate t on one side of the equation. Let's start by subtracting 300 from both sides:

182 - 300 = -0.5t

-118 = -0.5t

Next, divide both sides of the equation by -0.5 to solve for t:

-118 / -0.5 = t

236 = t

Therefore, it will take Alex 236 minutes to reach a distance of 182 km from home.

To find out how long it will take Alex to reach a distance of 182 km from home, we need to solve the equation D = -0.5t + 300 for t.

Given:
D = 182 km

Substitute the value of D into the equation:
182 = -0.5t + 300

Next, we need to isolate the variable t. We can do this by subtracting 300 from both sides of the equation:
182 - 300 = -0.5t

Simplifying the equation:
-118 = -0.5t

To isolate t, we can divide both sides of the equation by -0.5:
-118 / -0.5 = t

Now, calculate the value of t:
t = 236

Therefore, it will take Alex 236 minutes to reach a distance of 182 km from home.