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Karo-lina-s [1.5K]
2 years ago
8

A tank contained 80 liters of water. The function “w” represents the relationship between “t”, time in minutes, and the amount o

f water in the tank in liters. The equation w(t) = 80 - 2.8t defines this function. How would the graph of the inverse function of compare to the graph of “w”? PLEASE HELP!!
Mathematics
1 answer:
Leni [432]2 years ago
8 0

<em>w(t)</em> tells you the amount of water <em>w</em> at a given time <em>t</em>.

The inverse function tells you at which time <em>t</em> the tank contains an amount of water <em>w</em>.

To get the inverse function, solve the equation

<em>w</em> = 80 - 2.8<em>t</em>

for <em>t</em> :

<em>w</em> = 80 - 2.8<em>t</em>

2.8<em>t</em> = 80 - <em>w</em>

<em>t</em> = (80 - <em>w</em>) / 2.8

<em>t</em> ≈ 28.57 - 0.357 <em>w</em>

The graph of <em>w(t)</em> is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of <em>w(t)</em>.

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