Question

lesson 12 | session 1
3 tameka pilots a hot air balloon. she lowers the balloon
five times, going down an equal distance each time. in
all, tameka lowers the balloon 75 m.
a. what integer represents the change in the hot air
balloons elevation each time tameka lowers it?
what does this integer tell you? show your work.
5·x = 75m
5
5
x = 15m
solution
b. check your answer to

Explanation:

Step1: Set up the equation

Let \(x\) be the distance lowered each time. Since she lowers 5 times for a total of 75 m, the equation is \(5x = 75\).

Step2: Solve for \(x\)

Divide both sides of the equation by 5: \(x=\frac{75}{5}\).

Step3: Calculate the value of \(x\)

\(75\div5 = 15\). But since it's a lowering (a decrease in elevation), the integer is \(- 15\). This means each time the balloon's elevation changes by \(-15\) meters, indicating a descent of 15 meters each time.

Answer:

The integer is \(-15\). It means the hot - air balloon's elevation decreases by 15 meters each time Tameka lowers it.