A hot air balloon in flight begins to ascend at a steady rate. 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 the altitude the balloon will reach after 5 minutes.

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Step-by-step explanation: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.

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: