Question

The following table shows the amount of water leaking from an inflatable pool as a function of time:

Answer 1

Answer:

A

Step-by-step explanation:

You are given the table

$\begin{array}{cc}\text{Time}&\text{Water}\\x&f(x)\\0&35\\1&30\\2&25\\3&20\\4&15\end{array}$

This table represents a linear relationship between time and water leaked, because

$\dfrac{30-35}{1-0}=\dfrac{25-30}{2-1}=\dfrac{20-25}{3-2}=\dfrac{15-20}{4-3}$

The linear function has the equation

$f(x)=mx+b$

Find m and b:

$f(0)=35\Rightarrow 35=m\cdot 0+b,\ b=35\\ \\f(1)=30\Rightarrow 30=m\cdot 1+b,\ 30=m+35,\ m=-5$

So,

$f(x)=-5x+35$

Find the x-intercept:

$f(x)=0\Rightarrow -5x+35=0\\ \\5x=35\\ \\x=7$

Hence, point (7,0) is x-intercept with the meaning x=7 is the time it takes to empty the water in the pool

Answer 2

Answer:

(7, 0); the time it takes to empty the water in the pool

Step-by-step explanation:

Took test

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