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Novay_Z [31]
2 years ago
10

= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.

Mathematics
1 answer:
denpristay [2]2 years ago
8 0

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

<u>Skills needed: Linear Equations, Substitution and Division</u>

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

  • The slope is \frac{y_2-y_1}{x_2-x_1} --> y_1, y_2, x_1, and x_2 are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- \frac{y_2-y_1}{x_2-x_1} ==> \frac{1090-1150}{10-5} ==> 1090-1150=-60, 10-5=5 ==> \frac{-60}{5}

\frac{-60}{5} =-12, so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

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