Ahot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. after 1.5 minutes, the balloon is at an altitude of 2150 feet. after 3 minutes, it is at an altitude of 2330 feet. use an equation in point-slope form to determine whether the balloon will teach an altitude of 2500 feet in 4 minutes.

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

After minutes, the balloon is at an altitude of feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

Now, find the height after 4 minutes:

Thus, the balloon will reach only 2,450 feet after 4 minutes.

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°